Name: ate: 1. ship at sea heads directly toward a cliff on the shoreline. The accompanying diagram shows the top of the cliff,, sighted from two locations, and B, separated by distance S. If m = 30, m B = 45, and S = 30 feet, what is the height of the cliff, to the nearest foot? 5. In the diagram below of right triangle B, is the altitude to hypotenuse B, B = 6, and = 5. What is the length of B?. 5 B. 9. 3. 4 2. The Little People day care center has a rectangular, fenced play area behind their building. The play area is 30 meters long and 20 meters wide. Find, to the nearest meter, the length of a pathway that runs along the diagonal of the play area. 6. In the diagram below of right triangle B, altitude is drawn to hypotenuse B. 3. cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall is the flagpole?. 8 ft B. 10 ft. 12 ft. 26 ft If B = 36 and = 12, what is the length of? 4. If the length of a rectangular television screen is 20 inches and its height is 15 inches, what is the length of its diagonal, in inches?. 32 B. 6. 3. 4. 5 B. 13.2. 25. 35 page 1
7. In the diagram below, the length of the legs and B of right triangle B are 6 cm and 8 cm, respectively. ltitude is drawn to the hypotenuse of B. 9. The accompanying diagram shows two cables of equal length supporting a pole. Both cables are 14 meters long, and they are anchored to points in the ground that are 14 meters apart. What is the length of to the nearest tenth of a centimeter? What is the exact height of the pole, in meters?. 7 B. 7 2. 7 3. 14. 3.6 B. 6.0. 6.4. 4.0 10. In the accompanying diagram of right triangles B and B, B = 5, = 4, and = 1. Find the length of B to the nearest tenth. 8. The accompanying diagram shows ramp R leading to level platform M, forming an angle of 45 with level ground. If platform M measures 2 feet and is 6 feet above the ground, explain why the exact length of ramp R is 6 2 feet. 11. The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12. The length of the shorter leg of the right triangle is. 8 B. 20. 48. 192 12. Right triangle B has a right angle at, altitude is drawn, = 10, and B = 20. What is the length of?. 200 B. 2. 40. 5 page 2
13. In the accompanying diagram of rectangle B, E is perpendicular to diagonal. If E = 3 and E = 9, what is the length of? 16. In B, m = 90. If B = 5 and = 4, which statement is not true?. 27 B. 6. cos = 4 5 B. tan = 3 4. 5. 4. sin B = 4 5. tan B = 5 3 17. In right triangle B shown below, B = 18.3 and B = 11.2. 14. In the diagram below of right triangle JTM, JT = 12, JM = 6, and m JMT = 90. What is the measure of, to the nearest tenth of a degree? What is the value of cot J?. 31.5 B. 37.7. 52.3. 58.5. 3 3 B. 2. 3. 2 3 3 18. s shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65 with the ground. Find, to the nearest tenth of a foot, the distance from the wall to the base of the ladder. 15. In the diagram below of B, m B = 90, = 5 2, and B = 2 15. What is the length of B?. 10 B. 20. 50. 110 page 3
19. n 8-foot rope is tied from the top of a pole to a stake in the ground, as shown in the diagram below. 21. In the diagram of B shown below, B = 10 and B = 16. If the rope forms a 57 angle with the ground, what is the height of the pole, to the nearest tenth of a foot? To the nearest tenth of a degree, what is the measure of the largest acute angle in the triangle?. 32.0 B. 38.7. 51.3. 90.0. 4.4 B. 6.7. 9.5. 12.3 22. Which equation could be used to find the measure of one acute angle in the right triangle shown below? 20. Which equation shows a correct trigonometric ratio for angle in the right triangle below?. sin = 4 5 B. tan = 5 4. cos B = 5 4. tan B = 5 4. sin = 15 17 B. tan = 8 17. cos = 15 17. tan = 15 8 23. In right triangle B, m = 90, m = 55, and = 10. What is the length of B to the nearest integer?. 6 B. 14. 17. 24 page 4
Problem-ttic format version 4.4.195 c 2011 2013 Educide Software Licensed for use by Regina Turner Terms of Use at www.problem-attic.com 10/24/2013 1. 41 2. 3. 4. 5. 6. 7. 8. 9. 36, and appropriate work is shown. [task] 10. 2.8 11. 12. 13. 14. 15. 16. 17. B 18. 2.1 19. 20. B 21. 22. 23.