Understanding Topographic Maps

 Cecilia Elisabeth Hutchinson
 5 months ago
 Views:
Transcription
1 Understanding Topographic Maps 1. Every point on a contour line represents the exact same elevation (remember the glass inserted into the mountain). As a result of this every contour line must eventually close on itself to form an irregular circle (in other words, the line created by the intersection of the glass with the mountain cannot simply disappear on the backside of the mountain). Contour lines on the edge of a map do not appear to close on themselves because they run into the edge of the map, but if you got the adjacent map you would find that, eventually, the contour will close on itself. 2. Contour lines can never cross one another. Each line represents a separate elevation, and you can t have two different elevations at the same point. The only exception to this rule is if you have an overhanging cliff or cave where, if you drilled a hole straight down from the upper surface, you would intersect the earth s surface at two elevations at the same X,Y coordinate. In this relatively rare case, the contour line representing the lower elevation is dashed. The only time two contour lines may merge is if there is a vertical cliff. 3. Moving from one contour line to another always indicates a change in elevation. To determine if it is a positive (uphill) or negative (downhill) change you must look at the index contours on either side (see figure). 4. On a hill with a consistent slope, there are always four intermediate contours for every index contour. If there are more than four index contours it means that there has been a change of slope and one or more contour line has been duplicated. This is most common when going over the top of a hill or across a valley. 5. The closer contour lines are to one another, the steeper the slope is in the real world. If the contour lines are evenly spaced it is a constant slope, if they are not evenly spaced the slope changes. A series of closed contours (the contours make a circle) represents a hill. If the closed contours are hatchured it indicates a closed depression. 6. Contour lines crossing a stream valley will form a "V" shape pointing in the uphill (and upstream) direction.
2 Understanding Topographic Maps
3 Questions about Math State Park topo. Determine the elevations of points 15: 1) ft., 2) ft., 3) ft., 4) ft., 5) ft.
4 How do I calculate slope/gradient? "Rise over run" in the geosciences Many of us know that the slope of a line is calculated by "rise over run". However, the application of slope calculation can seem a little more complicated. In the geosciences, you may be asked to calculate the slope of a hill or to determine rate by calculating the slope of a line on a graph. This page is designed to help you learn these skills so that you can use them in your geoscience courses. Why should I calculate slope or gradient? In the geosciences slope can play an important role in a number of problems. The slope of a hill can help to determine the amount of erosion likely during a rainstorm. The gradient of the water table can help us to understand whether (and how much) contamination might affect a local well or water source. How do I calculate slope (or gradient) in the geosciences? Gradient in the case of hillslope and water table is just like calculating the slope of a line on a graph  "rise" over "run". But how do you do that using a contour (or topographic) map?! 1) Measure the elevation change using the contour lines. This is the rise.! 2) Determine the distance with ruler or string and map scale. This is the run.! 3) Divide the rise by the run. This is the gradient. The units are usually ft/mi or m/km. Use the enlarged version of the map on the next page to determine the gradient of the red line from the creek to the top of the hill feet per mile.
5 More Questions About the Main Map. 1. What is the height of the picnic table at the end of road (black line)? 2. Is the creek flowing east, west, north or south below that picnic table (at the location of the word creek ), and how do you know for sure which way it is flowing? 3. Use a string to follow the stream and determine how long it is from where it enters the map and where it leaves. What is this distance?!!! What is the elevation change (rise) over this distance?!!! What is the gradient of the stream?!!! Don t forget the units for these answers.
What is a Topographic Map?
Topographic Maps Topography From Greek topos, place and grapho, write the study of surface shape and features of the Earth and other planetary bodies. Depiction in maps. Person whom makes maps is called
More informationTopic 2B Topographic Maps
Name Period Topic 2B Topographic Maps Isolines: Contour lines: Contour Interval: Index Contour: The elevation when starting at the OCEAN must be. The contour interval on this map is feet. 2 0 50 E The
More information1. Which diagram best represents the location of the isolines for the elevation field of this landscape? (1) (2) (3) (4)
Base your answers to questions 1 through 5 on your knowledge of earth science and on the diagram below which represents the elevation data for a certain landscape region. Points A, B, C, and D are specific
More informationTopographic Survey. Topographic Survey. Topographic Survey. Topographic Survey. CIVL 1101 Surveying  Introduction to Topographic Mapping 1/7
IVL 1101 Surveying  Introduction to Topographic Mapping 1/7 Introduction Topography  defined as the shape or configuration or relief or three dimensional quality of a surface Topography maps are very
More informationReconnaissance and Surveillance Leader s Course Map Reading self study worksheet (Tenino, Washington Map)
Reconnaissance and Surveillance Leader s Course Map Reading self study worksheet (Tenino, Washington Map) General Knowledge 1. Name the five Basic Colors on a map and what they represent? 1. 2. 3. 4. 5.
More informationActivity The Coordinate System and Descriptive Geometry
Activity 1.5.1 The Coordinate System and Descriptive Geometry Introduction North, east, south, and west. Go down the street about six blocks, take a left, and then go north for about 2 miles; you will
More information2. AREAL PHOTOGRAPHS, SATELLITE IMAGES, & TOPOGRAPHIC MAPS
LAST NAME (ALL IN CAPS): FIRST NAME: 2. AREAL PHOTOGRAPHS, SATELLITE IMAGES, & TOPOGRAPHIC MAPS Instructions: Refer to Exercise 3 in your Lab Manual on pages 4764 to answer the questions in this work
More informationTEST EXAM PART 2 INTERMEDIATE LAND NAVIGATION
NAME DATE TEST EXAM PART 2 INTERMEDIATE LAND NAVIGATION 1. Knowing these four basic skills, it is impossible to be totally lost; what are they? a. Track Present Location / Determine Distance / Sense of
More informationComputation of Slope
Computation of Slope Prepared by David R. Maidment and David Tarboton GIS in Water Resources Class University of Texas at Austin September 2011, Revised December 2011 There are various ways in which slope
More information5B.4 ~ Calculating Sine, Cosine, Tangent, Cosecant, Secant and Cotangent WB: Pgs :110 Pgs : 17
SECONDARY 2 HONORS ~ UNIT 5B (Similarity, Right Triangle Trigonometry, and Proof) Assignments from your Student Workbook are labeled WB Those from your hardbound Student Resource Book are labeled RB. Do
More informationLevel Curves and Contour Maps (sec 14.1) & Partial Derivatives (sec 14.3) Today, We Will: Level Curves. Notes. Notes. Notes.
Level Curves and Contour Maps (sec 14.1) & Partial Derivatives (sec 14.3) 11 February 2015 Today, We Will: Wrapup our discussion of level curves and contour maps. Define partial derivatives of a function
More informationDigital Elevation Model & Surface Analysis
Topics: Digital Elevation Model & Surface Analysis 1. Introduction 2. Create raster DEM 3. Examine Lidar DEM 4. Deriving secondary surface products 5. Mapping contours 6. Viewshed Analysis 7. Extract elevation
More informationTopic 3.1: Introduction to Multivariate Functions (Functions of Two or More Variables)
BSU Math 275 Notes Topic 3.1: Introduction to Multivariate Functions (Functions of Two or More Variables) Textbook Section: 14.1 From the Toolbox (what you need from previous classes): Know the meaning
More informationInverses of Trigonometric. Who uses this? Hikers can use inverse trigonometric functions to navigate in the wilderness. (See Example 3.
14 Inverses of Trigonometric Functions Objectives Evaluate inverse trigonometric functions. Use trigonometric equations and inverse trigonometric functions to solve problems. Vocabulary inverse sine function
More informationGY461 GIS 1: Environmental Campus Topography Project with ArcGIS 9.x
I. Introduction GY461 GIS 1: Environmental In this project you will use data from a topographic survey of the USA campus to generate 2 separate maps: 1. A colorcoded 2dimensional topographic contour
More informationMATH 1112 Trigonometry Final Exam Review
MATH 1112 Trigonometry Final Exam Review 1. Convert 105 to exact radian measure. 2. Convert 2 to radian measure to the nearest hundredth of a radian. 3. Find the length of the arc that subtends an central
More informationLesson 1: Slope and Distance
Common Core Georgia Performance Standards MCC8.G.8* (Transition Standard 01 013; asterisks denote Transition Standards) MCC9 1.G.GPE.4 MCC9 1.G.GPE.5 Essential Questions 1. How is the Pythagorean Theorem
More informationMEMORANDUM. Corona Subdivision XP Storm Evaluation. Date: March 5, Curt Bates, City of Petaluma. David S. Smith, P.E., WEST Consultants, Inc.
MEMORANDUM Project: Corona Subdivision XP Storm Evaluation Subject: Results Summary Date: March 5, 2013 To: Curt Bates, City of Petaluma No. C056132 EXP. 12/31/14 From: David S. Smith, P.E., WEST Consultants,
More informationDigital Elevation Models (DEMs)
Digital Elevation Models (DEM)  Terrain Models (DTM) How has relief depiction on maps and online changed with digital mapping/ GIS?.. Perhaps more than the other map elements / layers Digital Elevation
More informationfraction of Nyquist
differentiator 4 2.1.2.3.4.5.6.7.8.9 1 1 1/integrator 5.1.2.3.4.5.6.7.8.9 1 1 gain.5.1.2.3.4.5.6.7.8.9 1 fraction of Nyquist Figure 1. (top) Transfer functions of differential operators (dotted ideal derivative,
More informationMLEP Intermediate GPS Workshop Exercise Two Using Maps
During this exercise, you will scale coordinates from a map and enter them into the GPS receiver. This requires a ruler (provided) and all calculations require a paper and pencil. During this exercise,
More informationAssignment Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Assignment.1.3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The arch beneath a bridge is semielliptical, a oneway
More informationDAY 1  GEOMETRY FLASHBACK
DAY 1  GEOMETRY FLASHBACK Sine Opposite Hypotenuse Cosine Adjacent Hypotenuse sin θ = opp. hyp. cos θ = adj. hyp. tan θ = opp. adj. Tangent Opposite Adjacent a 2 + b 2 = c 2 csc θ = hyp. opp. sec θ =
More informationPrerelease User Guide. Version 2.0 August 2015
Prerelease User Guide Version 2.0 August 2015 Copyright 2015 EagleView Technologies. Copyright 2015 Pictometry International Corp. All rights reserved. No part of this publication may be reproduced, stored
More informationAn Introduction to the Directional Derivative and the Gradient Math Insight
An Introduction to the Directional Derivative and the Gradient Math Insight The directional derivative Let the function f(x,y) be the height of a mountain range at each point x=(x,y). If you stand at some
More informationMath 124 Final Examination Autumn Turn off all cell phones, pagers, radios, mp3 players, and other similar devices.
Math 124 Final Examination Autumn 2016 Your Name Your Signature Student ID # Quiz Section Professor s Name TA s Name Turn off all cell phones, pagers, radios, mp3 players, and other similar devices. This
More informationGEOGRAPHIC INFORMATION SYSTEMS Lecture 24: Spatial Analyst Continued
GEOGRAPHIC INFORMATION SYSTEMS Lecture 24: Spatial Analyst Continued Spatial Analyst  Spatial Analyst is an ArcGIS extension designed to work with raster data  in lecture I went through a series of demonstrations
More informationFinal project: Lecture 21  Chapter 8 (Raster Analysis, part2) GEOL 452/552  GIS for Geoscientists I
GEOL 452/552  GIS for Geoscientists I Lecture 21  Chapter 8 (Raster Analysis, part2) Talk about class project (copy follow_along_data\ch8a_class_ex into U:\ArcGIS\ if needed) Catch up with lecture 20
More informationStatistical surfaces and interpolation. This is lecture ten
Statistical surfaces and interpolation This is lecture ten Data models for representation of surfaces So far have considered field and object data models (represented by raster and vector data structures).
More information0 Representing the real world 0 Conceptual models: objects vs fields 0 Implementation models: vector vs raster 0 Vector topological model 0 Surfaces
Road map 0 Representing the real world 0 Conceptual models: objects vs fields 0 Implementation models: vector vs raster 0 Vector topological model 0 Surfaces and networks 0 The world is infinitely complex
More informationLecture 9. Raster Data Analysis. Tomislav Sapic GIS Technologist Faculty of Natural Resources Management Lakehead University
Lecture 9 Raster Data Analysis Tomislav Sapic GIS Technologist Faculty of Natural Resources Management Lakehead University Raster Data Model The GIS raster data model represents datasets in which square
More information14.6 Directional Derivatives and the Gradient Vector
14 Partial Derivatives 14.6 and the Gradient Vector Copyright Cengage Learning. All rights reserved. Copyright Cengage Learning. All rights reserved. and the Gradient Vector In this section we introduce
More informationLearning to use the drawing tools
Create a blank slide This module was developed for Office 2000 and 2001, but although there are cosmetic changes in the appearance of some of the tools, the basic functionality is the same in Powerpoint
More informationWMS 10.1 Tutorial Hydraulics and Floodplain Modeling HECRAS Analysis Learn how to setup a basic HECRAS analysis using WMS
v. 10.1 WMS 10.1 Tutorial Hydraulics and Floodplain Modeling HECRAS Analysis Learn how to setup a basic HECRAS analysis using WMS Objectives Learn how to build cross sections, stream centerlines, and
More informationChapter 4: Solving Linear Equations Study Guide
4.1: Plot Points in the Coordinate Plane Chapter 4: Solving Linear Equations Study Guide  Identify/graph ordered pairs Ex: Write the coordinates of  Identify the 4 quadrants point graphed and identify
More informationFull Search Map Tab Overview
FlexMLS Map Server Full Search Map Tab Overview The Full Search Map tab is a need to know module. It is accessible when you use Full Search under Search in the Main Menu tree of FlexMLS. This map can
More information4. TANGENTS AND NORMALS
4. TANGENTS AND NORMALS 4. Equation of the Tangent at a Point Recall that the slope of a curve at a point is the slope of the tangent at that point. The slope of the tangent is the value of the derivative
More informationF818 Finding the yintercept from Ordered Pairs
F88 Finding the intercept from Ordered Pairs Pages 5 Standards: 8.F.A., 8.F.B. Goals: Students will find the intercept of a line from a set of ordered pairs. Prior Knowledge Required: Can add, subtract,
More informationReady To Go On? Skills Intervention 81 Similarity in Right Triangles
8 Find this vocabular word in Lesson 81 and the Multilingual Glossar. Finding Geometric Means The geometric mean of two positive numbers is the positive square root of their. Find the geometric mean of
More informationContents of Lecture. Surface (Terrain) Data Models. Terrain Surface Representation. Sampling in Surface Model DEM
Lecture 13: Advanced Data Models: Terrain mapping and Analysis Contents of Lecture Surface Data Models DEM GRID Model TIN Model Visibility Analysis Geography 373 Spring, 2006 Changjoo Kim 11/29/2006 1
More informationRepresenting Geography
Data models and axioms Chapters 3 and 7 Representing Geography Road map Representing the real world Conceptual models: objects vs fields Implementation models: vector vs raster Vector topological model
More informationLesson 7 Determining Direction. Key Terms. azimuth back azimuth degree grid azimuth grid north magnetic azimuth magnetic north true north
Lesson 7 Determining Direction U.S. ARMY Key Terms J R O T C azimuth back azimuth degree grid azimuth grid north magnetic azimuth magnetic north true north WHAT YOU WILL LEARN TO DO Calculate direction
More information3 Dimensional modeling of shelf margin clinoforms of the southwest Karoo Basin, South Africa.
3 Dimensional modeling of shelf margin clinoforms of the southwest Karoo Basin, South Africa. Joshua F Dixon A. Introduction The Karoo Basin of South Africa contains some of the best exposed shelf margin
More informationMODULE 1 BASIC LIDAR TECHNIQUES
MODULE SCENARIO One of the first tasks a geographic information systems (GIS) department using lidar data should perform is to check the quality of the data delivered by the data provider. The department
More informationCOMPOSER User Manual
COMPOSER User Manual June 2009 Contents I. II. III. IV. Getting Started...Pg. 1 The Map Interface Pg. 2 Toolbar Menus......Pg. 3 Right Hand Tool Panel Menus... Pg. 11 1 Getting Started To get started,
More information2 1 = 1; 1 1 = 0; 0 1 = 1; 1 1 = 2
Section 1: Integers MATH LESSON PLAN 8 INTEGERS 2015 Copyright Vinay Agarwala, Checked: 10/28/15 1. The following chart shows where integers fit in the scheme of Arithmetic. 2. Integers are numbers that
More informationTutorial: Using SAGA for Least Cost Path Analysis
Tutorial: Using SAGA for Least Cost Path Analysis Developed by Kim Cimmery (Kapcimmery at hot mail dot com) March 2013 1. Introduction The shortest path between two points is a straight line (unless you
More informationSECTION 7.4 THE LAW OF SINES 483. Triangles AjfijC, and A2B2C2 are shown in Figure 9. b = a = EXAMPLE 5 SSA, the NoSolution Case
SECTION 7.4 THE LAW OF SINES 483 the foothills of the Himalayas. A later expedition, using triangulation, calculated the height of the highest peak of the Himalayas to be 29,002 ft. The peak was named
More informationGmax Terrain Tutorial
Gmax Terrain Tutorial by Kobbe Farwick http://realscenes.proboards81.com You will need the following  Global Mapper Mesh data (GeoTIFF) Aerial/Satellite Imagery (GeoTIFF) FSX/FS2004 Gmax Gamepack Image
More informationInclination of a Line
0_00.qd 78 /8/05 Chapter 0 8:5 AM Page 78 Topics in Analtic Geometr 0. Lines What ou should learn Find the inclination of a line. Find the angle between two lines. Find the distance between a point and
More informationDESCRIPTION SITE SUITABILITY. Advantages. Disadvantages. Alternative Names: Fiber Roll Barriers, Sediment Log, Coir Roll and Coir Log
4.5q FIBER ROLL Alternative Names: Fiber Roll Barriers, Sediment Log, Coir Roll and Coir Log DESCRIPTION Fiber rolls are sediment control devices made from fibrous organic material, such as rice or coconut
More informationPractice Workbook. Pad and Parking Lot Modeling
Practice Workbook This workbook is designed for use in Live instructorled training and for OnDemand selfstudy. The explanations and demonstrations are provided by the instructor in the classroom, or in
More informationMARINA PARK PUBLIC ART AT FLAG PLAZA
CONTEXTUAL OVERVIEW STANLEY PARK COAL HARBOUR HARBOUR GREEN PARK DEVONIAN HARBOUR PARK COAL HARBOUR COMMUNITY CENTRE & PARK CARDERO PARK MARINA PARK 10 MINUTE WALK 5 MINUTE WALK LOST LAGOON PUBLIC ART
More informationMaking Topographic Maps
T O P O Applications N Making Topographic Maps M A P S Making Topographic Maps with TNTmips page 1 Before Getting Started TNTmips provides a variety of tools for working with map data and making topographic
More informationGRAPHING WORKSHOP. A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation.
GRAPHING WORKSHOP A graph of an equation is an illustration of a set of points whose coordinates satisfy the equation. The figure below shows a straight line drawn through the three points (2, 3), (3,2),
More informationChapter 4 Graphing Linear Equations and Functions
Chapter 4 Graphing Linear Equations and Functions 4.1 Coordinates and Scatter plots on the calculator: On the graph paper below please put the following items: x and y axis, origin,quadrant numbering system,
More informationWeek 8 Problems. #2 Points possible: 1. Total attempts: 2 Enter your answer rounded to two decimal places.
Week 8 Problems Name: Neal Nelson Show Scored View # Points possible:. Total attempts: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,.6 mi apart, to
More informationName Course Days/Start Time
Name Course Days/Start Time MiniProject : The Library of Functions In your previous math class, you learned to graph equations containing two variables by finding and plotting points. In this class, we
More informationContour Analysis And Visualization
Contour Analysis And Visualization Objectives : stages The objectives of Contour Analysis and Visualization can be described in the following 1. To study and analyse the contour 2. Visualize the contour
More informationReality Check: Processing LiDAR Data. A story of data, more data and some more data
Reality Check: Processing LiDAR Data A story of data, more data and some more data Red River of the North Red River of the North Red River of the North Red River of the North Introduction and Background
More informationv SMS 11.1 Tutorial Scatter Data  TINs Requirements Scatter Module Map Module Time minutes Prerequisites None Objectives
v. 11.1 SMS 11.1 Tutorial Scatter Data  TINs Objectives This workshop covers the basics of working with TINs (triangulated irregular networks) using the scatter module of SMS. We will cover importing
More informationWMS 9.1 Tutorial Watershed Modeling DEM Delineation Learn how to delineate a watershed using the hydrologic modeling wizard
v. 9.1 WMS 9.1 Tutorial Learn how to delineate a watershed using the hydrologic modeling wizard Objectives Read a digital elevation model, compute flow directions, and delineate a watershed and subbasins
More informationCK12 Trigonometry. Lori Jordan Mara Landers. Say Thanks to the Authors Click (No sign in required)
CK12 Trigonometry Lori Jordan Mara Landers Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) www.ck12.org To access a customizable version of this book, as well as other
More informationADOBE ILLUSTRATOR CS3. Chapter 4 Transforming and Distorting Objects
ADOBE ILLUSTRATOR CS3 Chapter 4 Transforming and Distorting Objects Transform objects Defining the Transform Tools Transformation occurs when an object s size, shape, or position is changed on artboard
More informationMapping Distance and Density
Mapping Distance and Density Distance functions allow you to determine the nearest location of something or the leastcost path to a particular destination. Density functions, on the other hand, allow
More informationSolving Right Triangles. SECURITY A security light is being
55 OJECTIVES Evaluate inverse trigonometric functions. Find missing angle measurements. Solve right triangles. Solving Right Triangles SECURITY A security light is being installed outside a loading dock.
More informationTransportation Engineering  II Dr.Rajat Rastogi Department of Civil Engineering Indian Institute of Technology  Roorkee
Transportation Engineering  II Dr.Rajat Rastogi Department of Civil Engineering Indian Institute of Technology  Roorkee Lecture 18 Vertical Curves and Gradients Dear students, I welcome you back to the
More informationCK12 Geometry: Inverse Trigonometric Ratios
CK12 Geometry: Inverse Trigonometric Ratios Learning Objectives Use the inverse trigonometric ratios to find an angle in a right triangle. Solve a right triangle. Apply inverse trigonometric ratios to
More informationDASHBOARD OPERATION MANUAL. Machine Control, Inc.
DASHBOARD OPERATION MANUAL Machine Control, Inc. INTEGRATE YOUR DATA With highly accurate topographic data describing your job site, its easy to envision and design a multiphase system to address your
More informationComponents of Alignment. Horizontal Alignment. Vertical Alignment. Highway Design Project. Vertical Alignment. Vertical Alignment.
1/35 Components of Alignment Highway Design Project Horizontal Alignment Vertical Alignment Vertical Alignment Amir Samimi Civil Engineering Department Sharif University of Technology Crosssection /35
More informationGMS 9.1 Tutorial MODFLOW Conceptual Model Approach II Build a multilayer MODFLOW model using advanced conceptual model techniques
v. 9.1 GMS 9.1 Tutorial Build a multilayer MODFLOW model using advanced conceptual model techniques 00 Objectives The conceptual model approach involves using the GIS tools in the Map module to develop
More informationGMS 9.1 Tutorial MODFLOW Conceptual Model Approach I Build a basic MODFLOW model using the conceptual model approach
v. 9.1 GMS 9.1 Tutorial Build a basic MODFLOW model using the conceptual model approach Objectives The conceptual model approach involves using the GIS tools in the Map module to develop a conceptual model
More informationPerimeter and Area in the Coordinate Plane
1. Perimeter and Area in the Coordinate Plane COMMON CORE Learning Standard HSGGPE.B.7 HSGMG.A.1 LOOKING FOR STRUCTURE To be proficient in math, ou need to visualize single objects as being composed
More informationMotion Graphs. Plotting position against time can tell you a lot about motion. Let's look at the axes:
Motion Graphs 1 Name Motion Graphs Describing the motion of an object is occasionally hard to do with words. Sometimes graphs help make motion easier to picture, and therefore understand. Remember: Motion
More information4. If you are prompted to enable hardware acceleration to improve performance, click
Exercise 1a: Creating new points ArcGIS 10 Complexity: Beginner Data Requirement: ArcGIS Tutorial Data Setup About creating new points In this exercise, you will use an aerial photograph to create a new
More informationThe cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle Find the cosine ratio for. below.
The Cosine Ratio The cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle. From the diagram to the right we see that cos C = This means the ratio of the
More informationUnit #22  The Chain Rule, Higher Partial Derivatives & Optimization Section 14.7
Unit #22  The Chain Rule, Higher Partial Derivatives & Optimization Section 14.7 Some material from Calculus, Single and MultiVariable by HughesHallett, Gleason, McCallum et. al. Copyright 2005 by John
More informationUNDERSTAND HOW TO SET UP AND RUN A HYDRAULIC MODEL IN HECRAS CREATE A FLOOD INUNDATION MAP IN ARCGIS.
CE 412/512, Spring 2017 HW9: Introduction to HECRAS and Floodplain Mapping Due: end of class, print and hand in. HECRAS is a Hydrologic Modeling System that is designed to describe the physical properties
More informationv Overview SMS Tutorials Prerequisites Requirements Time Objectives
v. 12.2 SMS 12.2 Tutorial Overview Objectives This tutorial describes the major components of the SMS interface and gives a brief introduction to the different SMS modules. Ideally, this tutorial should
More informationLOCATION W140005XQ STUDENT HANDOUT
UNITED STATES MARINE CORPS THE BASIC SCHOOL MARINE CORPS TRAINING COMMAND CAMP BARRETT, VIRGINIA 221345019 LOCATION W140005XQ STUDENT HANDOUT W14005XQ Introduction Importance In This Lesson The class
More informationIMAP. Edit Member Map. A complete guide to using the IMAP system. For KANSAS ONECALL. Rev. 12/16/08
IMAP Edit Member Map A complete guide to using the IMAP system Developed by, Inc. For KANSAS ONECALL Rev. 12/16/08 Table of Contents Logging into IMAP 3 IMAP Overview 45 Map Tools 69 Viewing Existing
More informationSt. Joseph County. GIS Department FetchGIS Web Map Tutorial
St. Joseph County GIS Department FetchGIS Web Map Tutorial 2 Table of Contents Contents Slide #(s) Where to Find the Web Map 3 Disclaimer 4 Turning On and Off Map Layers 5 Searching for Parcels 6 More
More informationRECOMMENDATION ITUR P DIGITAL TOPOGRAPHIC DATABASES FOR PROPAGATION STUDIES. (Question ITUR 202/3)
Rec. ITUR P.10581 1 RECOMMENDATION ITUR P.10581 DIGITAL TOPOGRAPHIC DATABASES FOR PROPAGATION STUDIES (Question ITUR 202/3) Rec. ITUR P.10581 (19941997) The ITU Radiocommunication Assembly, considering
More informationTOPOGRAPHIC NORMALIZATION INTRODUCTION
TOPOGRAPHIC NORMALIZATION INTRODUCTION Use of remotely sensed data from mountainous regions generally requires additional preprocessing, including corrections for relief displacement and solar illumination
More informationMODFLOW Conceptual Model Approach II Build a multilayer MODFLOW model using advanced conceptual model techniques
v. 10.2 GMS 10.2 Tutorial Build a multilayer MODFLOW model using advanced conceptual model techniques 00 Objectives The conceptual model approach involves using the GIS tools in the Map module to develop
More informationHey there, I m (name) and today I m gonna talk to you about rate of change and slope.
Rate and Change of Slope A1711 Activity Introduction Hey there, I m (name) and today I m gonna talk to you about rate of change and slope. Slope is the steepness of a line and is represented by the letter
More informationLESSON 6: DETERMINING DIRECTION
LESSON 6: DETERMINING DIRECTION PURPOSE Directions play an important role in everyday life. People oftentimes express them as right, left, straight ahead, and so forth; but then the question arises, to
More informationSOLIDS
SOLIDS 11.1.1 11.1.5 The students have already worked with solids, finding the volume and surface area of prisms and other shapes built with blocks. Now the students extend these skills to find the volume
More informationMODFLOW  Conceptual Model Approach
GMS 7.0 TUTORIALS MODFLOW  Conceptual Model Approach 1 Introduction Two approaches can be used to construct a MODFLOW simulation in GMS: the grid approach or the conceptual model approach. The grid approach
More informationSession 5 Linear Functions and Slope
Session 5 Linear Functions and Slope Key Terms for This Session Previously Introduced closedform description [Session 2] recursive description [Session 2] origin [Session 4] New in This Session independent
More informationAdvanced Map Labeling using Maplex. Wendy Harrison & Samuel Troth
Advanced Map Labeling using Maplex Wendy Harrison & Samuel Troth Presentation Overview We ll be using ArcGIS Pro Introduction  Different types of text in ArcGIS  role of the Maplex Label Engine labeling
More informationMODFLOW Conceptual Model Approach I Build a basic MODFLOW model using the conceptual model approach
v. 10.1 GMS 10.1 Tutorial Build a basic MODFLOW model using the conceptual model approach Objectives The conceptual model approach involves using the GIS tools in the Map module to develop a conceptual
More informationUnit O Student Success Sheet (SSS) Right Triangle Trigonometry (sections 4.3, 4.8)
Unit O Student Success Sheet (SSS) Right Triangle Trigonometry (sections 4.3, 4.8) Standards: Geom 19.0, Geom 20.0, Trig 7.0, Trig 8.0, Trig 12.0 Segerstrom High School  Math Analysis Honors Name: Period:
More informationADOBE ILLUSTRATOR CS3
ADOBE ILLUSTRATOR CS3 Chapter 2 Creating Text and Gradients Chapter 2 1 Creating type Create and Format Text Create text anywhere Select the Type Tool Click the artboard and start typing or click and drag
More informationLecturer 2: Spatial Concepts and Data Models
Lecturer 2: Spatial Concepts and Data Models 2.1 Introduction 2.2 Models of Spatial Information 2.3 ThreeStep Database Design 2.4 Extending ER with Spatial Concepts 2.5 Summary Learning Objectives Learning
More informationInstructors Manual. for. Construction Surveying and Layout. Third Edition. Part Two  Officework and Calculations. Chapters
Instructors Manual for Construction Surveying and Layout Third Edition Part Two  Officework and Calculations Chapters 1118 Prepared by Wesley G. Crawford TABLE OF CONTENTS Chapter 11  Officework Practices...
More informationHONORS PRECALCULUS Prove the following identities x x= x x 1.) ( ) 2 2.) 4.) tan x 1 cos x 6.)
HONORS PRECALCULUS Prove the following identities 1.) ( ) cosx sinx = 1 sinxcosx.) cos x tan x+ sec x= 1 sinx 3.) 1 + 1 = csc x 1 cos x 1+ cos x 4.) sec x + 1 sin x = tan x 1 cos x 5.) cot cos cos cot
More information1. Start ArcMap by going to the Start menu > All Programs > ArcGIS > ArcMap.
Learning ArcGIS: Introduction to ArcMap 10.1 The Map Document Feature Manipulation Navigating ArcMap Map Documents, Layers, and Features Shapes, Location, and Attribute Data Symbology Zoom, Pan and Map
More informationExercise Lab: Where is the Himalaya eroding? Using GIS/DEM analysis to reconstruct surfaces, incision, and erosion
Exercise Lab: Where is the Himalaya eroding? Using GIS/DEM analysis to reconstruct surfaces, incision, and erosion 1) Start ArcMap and ensure that the 3D Analyst and the Spatial Analyst are loaded and
More informationGEBCO Digital Atlas Software Interface Users Guide
GEBCO Digital Atlas Software Interface Users Guide Introduction Using the GDA Software Interface GDA Software Interface Menu Bar GDA Software Interface Toolbar Red text in this document indicates active
More information