Right Triangles and Trigonometry 8 Chapter Test Form C ...

1 Name _____ Date _____ Class _____ Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Right Triangles and Trigonometry Chapter Test form C 1. Find x, y, and z. _____ 2. A photographer positions a camera on a tripod to take a picture of a grain silo. The lens of the camera is 4 feet 6 inches from the ground. To get the full height of the silo, the camera had to be positioned 18 feet from the base of the silo. How tall is the grain silo? _____ 3. Determine the value of cosB to the nearest hundredth. _____ 4. Complete the chart. 30 45 60 sin cos tan 5. Find the perimeter and area of the triangle. Round to the nearest tenth. _____ 6. Find YZ. Round to the nearest unit. _____ 7. Find m D to the nearest degree. _____ 8. The length of a slide at a water park is 50 feet from the top of the slide to ground level.

2 The top of the slide is 20 feet above the ground. What is the approximate measure of the angle formed by the top of the slide and the vertical support to the ground? Round to the nearest degree. _____ Name _____ Date _____ Class _____ Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Right Triangles and Trigonometry Chapter Test form B continued 9. The angle of elevation from a person lying on the ground to a hot-air balloon is 37 . The balloon is at an altitude of 1500 feet. To the nearest foot, find the horizontal distance from the person to a point on the ground directly below the balloon. _____ 10. The angle of depression from a plane to the airport is 34 . The pilot reports that the plane s altitude is 3200 feet. Find the horizontal distance between the plane and the airport to the nearest foot.

3 _____ 11. A triangle has angle measures of 40 , 59 , and 81 . The side opposite the 40 angle is 11 centimeters long. Find the length of the side opposite the 81 angle to the nearest centimeter. _____ 12. Find JL. Round the answer to the nearest tenth. _____ 13. Find the magnitude of PQJJJK with initial point P( 4, 7) and terminal point Q(1, 3). _____ 14. The current of a river is given by the vector 4, 2 . Find the direction of the vector to the nearest degree. _____ 15. A small plane flies at a constant speed of 300 miles per hour on a bearing of N 55 E. There is a 30 mile per hour wind blowing due east. Find the plane s actual speed and direction. Round the speed to the nearest tenth. _____ 157405011 12:29:32 PMName _____ Date _____ Class _____ Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

4 Holt McDougal Geometry Right Triangles and Trigonometry Chapter Test form C continued 9. A plane is flying at a constant altitude of 30,000 feet and a constant speed of 750 miles per hour. A fisher on a lake spots the plane headed in his direction at an angle of elevation of 6 . To the nearest minute, now much time will pass before the plane is directly over the fisher? _____ 10. A forest ranger in a 140-foot-tall observation tower sees a fire moving in a direct path toward a lake. The angle of depression to the fire is 3 . The angle of depression to the lake is 8 . To the nearest foot, how close is the fire to the lake? _____ 11. Find the perimeter of UABC to the nearest tenth. _____ 12. The coordinates of the vertices of UJKL are J( 1, 4), K(2, 2), and L( 4, 0). Find the measure of the smallest angle of the triangle. Round to the nearest degree. _____ 13. Identify another vector that is parallel to but NOT equal to the resultant vector of 2, 7 + 3, 3.

5 _____ 14. Find the direction of 6, 4 . Round to the nearest degree. _____ 15. A skiff leaves a dock and heads toward a house across the river. The house is at a bearing of N 64 E from the dock. There is a 1 mile per hour current blowing due east. Determine the speed and direction the skiff would have to maintain so that the skiff s actual speed is 4 miles per hour and it is moving directly toward the house. Round the speed to the nearest whole number and the direction to the nearest degree. _____ 158405011 12:29:32 PMOriginal content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Answer Key Right Triangles and Trigonometry Section Quiz: Lessons 8-1 Through 8-3 1. A 5. A 9. B 2. G 6. G 10. F 3. C 7. C 11. A 4. H 8. J Section Quiz: Lessons 8-4 Through 8-6 1.

6 C 5. D 9. C 2. J 6. F 10. F 3. B 7. C 11. D 4. J 8. G Chapter Test form A: Multiple Choice 1. C 6. B 11. A 2. B 7. A 12. A 3. D 8. A 13. C 4. C 9. B 14. A 5. B 10. A 15. A Chapter Test form B: Multiple Choice 1. D 6. G 11. B 2. G 7. A 12. J 3. C 8. F 13. C 4. H 9. B 14. G 5. C 10. H 15. B Chapter Test form C: Multiple Choice 1. C 6. G 11. C 2. G 7. C 12. F 3. B 8. F 13. B 4. J 9. B 14. J 5. C 10. H 15. C Chapter Test form A: Free Response 1. 4 9. elevation 2. 20 m 10. 53 ft 3. 43 11. Law of Cosines 4. 12. 11 5. 63 13. 5 6. 13 ft 14. 53 7. A 15. 10; 53 8. 4 Chapter Test form B: Free Response 1. 25 9. 1991 ft 2. 175 3 10. 4744 ft 3. 11. 17 cm 4. 22 12. 5. 65 13. 41, or about 6. 48 ft 14. 27 7. 53 15. mi/h; 8. 38 N 58 E Chapter Test form C: Free Response 1.

7 X = 24, y = 12, =65z 2. ft 3. 4. 30 45 60 sin 12 22 32 cos 32 22 12 tan 33 1 3 5. perimeter cm; area cm2 6. 18 7. 43 8. 66 2614/12/11 11:30:46 PMOriginal content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry 9. 4 min 10. 1675 ft 11. 12. 35 13. Sample answer: 10, 20 14. 146 15. 3 mi/h; 34 or N 56 E Performance Assessment 1. a. b. Possible answer: 25 = ; RQ2 = ( )(25); RQ = 24 c. Possible answer: QS2 = ( )( ); QS = d. 724 e. 16 2. a. 152 = 62 + 162 2(6)(16)cos K b. 70 3. a. + =sin(180 (85 70))sin 7012LK b. 4. Law of Sines; the given information includes two angles and one side. The Law of Cosines requires knowing either two sides and an angle or all three sides. The Law of Sines requires knowing a mix of both sides and angles.

8 Cumulative Test 1. D 17. B 32. J 2. G 18. J 33. C 3. D 19. A 34. G 4. G 20. H 35. D 5. B 21. A 36. G 6. F 22. G 37. B 7. C 23. C 38. G 8. J 24. H 39. D 9. B 25. C 40. J 10. H 26. F 41. A 11. A 27. D 42. H 12. H 28. H 43. B 13. B 29. D 44. H 14. F 30. J 45. C 15. C 31. A 46. J 16. F 2624/12/11 11:30:46 PM