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Review Trigonometry NAME __________________________________________ PERIOD _____________ Box equation and answer. Round sides to the nearest ten thousandths and angles to the nearest whole degree. Solve each of the following. 1. 2. x 40 4 7 x 32 3. 4. x 3 15 7 x 54 5. 6. 63 x 20 x 10 68 7. 8. 12 23 18 x 60 9. x 10. 41 90 24 35 x 23 x 11. 12. x 30 37 20 70 x 13. 14. x 12 4 5 4 x 15. 16. Find the missing sides. x 7 6 30 12 12 6 4 17. A ladder is leaning against a wall. The foot of the ladder is 7.5 feet from the wall. The angle of elevation is 73, how high up the wall does the ladder reach? Round the answer to the nearest hundredth. 18. A boy flying a kite lets out 200 feet of string that makes an angle of 50 with the ground. Find, to the nearest hundredth, how high the kite is above the ground. 19. A guy wire attached to the top of a pole reaches a stake in the ground 16 feet from the foot of the pole and makes an angle of 55 with the ground. Find the length of the wire to the nearest hundredth. 20. The top of a 20-foot ladder touches a point on the wall 18 feet above the ground. Find, to the nearest degree, the measure of the angle that the ladder makes with the wall. 21. The angle of elevation of the top of a building from a point on the ground 600 feet from the base of the building is 35. Find the height of the building to the nearest hundredth. 22. A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 23. A vertical pole 22 meters tall casts a shadow 16 meters long on level ground. Find, to the nearest degree, the measure of the angle of elevation of the sun. 24. From the top of a cliff 90 feet high, the angle of depression of an object on the ground measures 40. Find, to the nearest hundredth, the distance from the object to the base of the cliff. 25. From the top of a 140-foot tall lighthouse, the angle of depression of a boat out at sea is 24. Find, to the nearest hundredth, the distance from the boat to the base of the lighthouse, the base being at sea level. Use the triangle below to find the trigonometric ratio(fraction) for each problem. 26. tanA 27. tanC 26. __________ A 27. __________ 28. cosC 29. sinA 28. __________ 2.4 3.8 29. __________ 30. sinC 31. cosA 30. __________ B 2.5 C 31. __________