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Mathematician ______________________________Date:______ Period ____Wiggins Trigonometry Review Give a decimal for each ratio. Round to the tenth place. 1. sin 29º = _______ 2. cos 81 º = _______ 3. tan 35 º = _______ Find the measurement of the angle to the nearest degree. 4. sin _______ º = .1564 5. cos _______ º = .6157 6. tan _______ º = 2.9042 For problems 7-10, refer to ∆ABC, and leave answers in fraction form. A 7. tan A = _______ 8. sin A = _______ 5 4 9. cos B = _______ B C 10. sin B = _______ 3 11. Write the trigonometric ratio for cos A as a decimal. ________ Solve for the following. Round side lengths to tenths and angles to whole numbers. 12. x = ______ 13. x = ______ 14. x = ______ A 15. x = ______ X A A 32 7 x B C 6 4 X 18. 15 24. 1 25. 2 2 1 2 3 2 26. 1 X 6 8 X 3. .7 4. 9 5. 52 6. 71 7. ¾ 17. 24,66 18. 37 19. 31.7 m. 20. 32º x = _______ 6 Y 25 Answers: 1. .5 2. .2 15. 56 16. 2.1 C B 17. x = ______ Y = ______ 5 4 62 C B 16. x = ______ X 6 x 10 8. 3/5 21. 48º 9. 3/5 10.4/5 11. .8 12. 44 22. 206.0 m. 23. 20.1 m. 13. 7.5 14. 7.1 19. When an angle of elevation is 54º, a building casts a shadow that is 23 meters long. To the nearest meter, how high is the building? x 54 23 m 20. A 5-meter vertical pole casts an 8 meter shadow. What is the angle of elevation to the nearest degree? 21. Find the angle the 12 foot ladder makes with the ground if it is placed 8 feet from the house. 5m x 8m 22. What is the depth of the treasure chest ? 23. How tall is the tree ? 31 400 m 76 5m 24. The value of tan 45º is always equal to ______. 25. Use a special right triangle to write the following as fractions: cos 45º sin 30º cos 30º 26. Use the trigonometric ratio cos A = .6 to determine which angle of the triangle is A.