Which equation could find the distance from point G to the base of the flagpole?

Transcription

1 . The angle of elevation from point G on the ground to the top of a flagpole is 0. The height of the flagpole is 60 feet. 60 feet G 0 Which equation could find the distance from point G to the base of the flagpole? sin 0 = 60 sin 0 = 60 tan 0 = 60 tan 0 = 60. mountain climber stands on level ground 00 m from the base of a cliff. The angle of elevation to the top of the cliff is 58. What is the approimate height of the cliff? 566 m 480 m 54 m 87 m Page Published ecember 007. May reproduce for instructional and

2 . 0-foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approimate measure of the angle the ladder forms with the ground? Susan is making a small cone out of paper. The cone has a radius of. cm, and the angle between the lateral surface and the base is 8.6. The formula for the lateral area, s, of a cone is s =π rl, where r is the radius and l is the slant height. What is the cone s approimate lateral area? cm 4. ladder is leaning against the side of a building. The ladder is 0 feet long, and the angle between the ladder and the building is 5. bout how far is the foot of the ladder from the building? 40 cm 700 cm 880 cm 7.76 feet 8.04 feet 8.7 feet 8.98 feet 6. dead tree was struck by lightning, causing it to fall over at a point 0 ft up from its base. If the fallen treetop forms a 40 angle with the ground, about how tall was the tree originally? ft 6 ft ft 6 ft Page Published ecember 007. May reproduce for instructional and

3 7. rectangular prism is 40 ft by 8 ft by 5 ft. Shown below is the prism with a half cylinder removed. 5 ft 8 ft 40 ft ft 0 ft 0 ft pproimately what volume of the original prism remains?,800 cubic feet 9,79 cubic feet 9,560 cubic feet 7,65 cubic feet Page Published ecember 007. May reproduce for instructional and

4 8. n apple pie is cut into si equal slices as shown below. 9. sign is shaped like an equilateral triangle. 6 in. If the diameter of the pie is ten inches, what is the approimate arc length of one slice of pie?.67 in..4 in. If one side of the sign is 6 inches, what is the approimate area of the sign?,96 in. 5.4 in..08 in in. in. in. Page 4 Published ecember 007. May reproduce for instructional and

5 0. n inflated round balloon with radius r = 50 centimeters holds approimately 5,600 cubic centimeters of air. When the balloon is contracted such that the radius is the original size, what is the approimate volume of the partially deflated balloon?. What is the approimate distance between the points (750, 900,,500) and (950, 800, 550)? 976 units,05 units,06 units 95,500 units cm cm cm cm. What is the ratio of the surface areas of two spheres with volumes of 64 cm and 5 cm? 4:5 8:0. What is the approimate area of the trapezoid? 6 : 5 64 : 5 cm 60 8 cm 8 cm 0 cm 8 cm 9 cm Page 5 Published ecember 007. May reproduce for instructional and

6 4. cylinder with a height of 6 inches and a radius of inches is inside a rectangular prism, as shown below. 8 in. 0 in. in. point inside the rectangular prism will be chosen randomly. What is the probability that the point will also be inside the cylinder? 5.% 7.9% 5.7%.6% Page 6 Published ecember 007. May reproduce for instructional and

7 5. point is randomly selected on XY. What is the probability that it will be closer to the midpoint of XY than to either X or Y? 7. cube is painted as shown. The three faces that are not seen are not painted. 4 4 If a point on the surface of the cube is randomly chosen, what is the probability that it will lie in the painted area? 4 6. circle is inscribed in a square, as shown below. in. 8 If a point is randomly chosen inside the square, what is the approimate chance that the point lies outside the circle? % 7% 7% 79% Page 7 Published ecember 007. May reproduce for instructional and

8 8. cube with edges 0 cm long is painted red. It is cut into smaller cubes with edges cm long that are placed into a bag. One small cube is pulled out of the bag without looking. What is the probability of pulling out a cube with three of its faces painted red? To win a carnival game, Keisha must throw a dart and hit one of 5 circles in a dart board that is 4 feet by feet. The diameter of each circle is 4 inches. 4 feet feet pproimately what is the probability that a randomly thrown dart that hits the board would also hit a circle? 8% 6% 6% 7% End of Goal Sample Items In compliance with federal law, including the provisions of Title IX of the Education mendments of 97, the epartment of Public Instruction does not discriminate on the basis of race, se, religion, color, national or ethnic origin, age, disability, or military service in its policies, programs, activities, admissions or employment. Page 8 Published ecember 007. May reproduce for instructional and