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 be 8 and, as shown in the figure. 8 a possibly more clear figure is shown on p. 6, problem A NOTE: The picture is NOT drawn to scale..6 mi B Find the distance of the plane from point A. distance from A mi.7 miles Find the elevation of the plane. height mi.987 miles Enter your answer as a number; your answer should be accurate to decimal places..6880966.986660 # Points possible:. Total attempts: A pilot flies in a straight path for h 0 min. She then makes a course correction, heading 0 degrees to the right of her original course, and flies h in the new direction. If she maintains a constant speed of 68 mi/h, how far is she from her starting position? Your answer is mi; Enter your answer rounded to two decimal places. 88.69807 of // : PM # Points possible:. Total attempts: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. B.68 mi.6 C.8 mi A NOTE: The triangle is NOT drawn to scale. distance.88 miles Enter your answer as a number; your answer should be accurate to decimal places..887769986 of // : PM
# Points possible:. Total attempts: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 7 km apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 86. and 8.9, respectively. 8.9 86. B A NOTE: The picture is NOT drawn to scale. How far is the satellite from station A? distance from A km 77. km How high is the satellite above the ground? height km 7.7 km Enter your answer as a number; your answer should be accurate to decimal places. 77.0967 7.687679 # Points possible:. Total attempts: To estimate the height of a building, two students find the angle of elevation from a point (at ground level) down the street from the building to the top of the building is. From a point that is 00 feet closer to the building, the angle of elevation (at ground level) to the top of the building is. If we assume that the street is level, use this information to estimate the height of the building. The height of the building is feet. 0.6077 of // : PM #6 Points possible:. Total attempts: The four sequential sides of a quadrilateral have lengths,,, and (all measured in yards). The angle between the two smallest sides is. What is the area of this figure? area yd².96800 #7 Points possible:. Total attempts: Convert the polar coordinate to Cartesian coordinates. Enter exact values. x *(/) /. y..07089 *(sqrt()/) #8 Points possible:. Total attempts: Convert the Cartesian coordinate (6,6) to polar coordinates, r Enter exact value. sqrt(7) 6*sqrt() 8.88786.9778778 7pi/ #9 Points possible:. Total attempts: Rewrite the polar equation as a Cartesian equation. of // : PM
#0 Points possible:. Total attempts: Rewrite the Cartesian equation as a polar equation. Enter theta for if needed. # Points possible:. Total attempts: v u Write the vector shown below as a combination of vectors and shown above Vector + Note: In both graphs, each box is unit by unit in size of // : PM # Points possible:. Total attempts: Three different forces act on an object. They are: Find the net force on the object (the sum of the forces) Find what fourth force, would need to be added so the object feels no force, that is, so # Points possible:. Total attempts: An airplane is heading north at an airspeed of 00 km/hr, but there is a wind blowing from the northeast at 60 km/hr. The plane will end up flying degrees off course. degrees The plane's speed relative to the ground will be km/hr 9. km/hr.97708 9.6809 # Points possible:. Total attempts: An airplane needs to head due north, but there is a wind blowing from the northwest at 60 km/hr. The plane flies at an airspeed of 600 km/hr, To end up due north, the pilot will need to fly the plane degrees west of north.08077997 6 of // : PM
# Points possible:. Total attempts: Two children are throwing a ball backandforth straight across the back seat of a car. The ball is being thrown 8 mph relative to the car, and the car is travelling mph down the road. If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)? 7.767607 degrees, measured relative to the car's forward direction #6 Points possible:. Total attempts: Eliminate the parameter to find a simplified Cartesian equation of the form for The Cartesian equation is #7 Points possible:. Total attempts: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x #8 Points possible:. Total attempts: Eliminate the parameter t to find a Cartesian equation in the form for: The resulting equation can be written as 7 of // : PM #9 Points Possible:. Total attempts: Match equation graph with its parametric equation. Not all equations will be used. All graphs shown for a. b. c. d. e. 9 of // : PM
d b e a #0 Points possible:. Total attempts: The graph below can be represented by parametric equations of the form Where a and b # Points possible:. Total attempts: The ellipse can be drawn with parametric equations where is written in the form with r and y(t) 6 0 of // : PM # Points possible:. Total attempts: Suppose parametric equations for the line segment between and have the form: If the parametric curve starts at when and ends at at, then find,,, and. of // : PM
# Points possible:. Total attempts: 6 6 6 6 The plot above is created with the parametric equations To acheive this graph, Hint: and are both whole numbers from to 6 # Points possible:. Total attempts: A bicycle wheel has radius. Let P be a point on the spoke of a wheel at a distance from the center of the wheel. The wheel begins to roll to the right along the the xaxis. The curve traced out by is given by the following parametric equations: What must we have for and? 7 of // : PM