Survey
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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
NAME_____________________________________ PERIOD_____ DATE______________________ SOHCAHTOA Practice 1 – 3: For the triangle, write the sine, cosine, and tangent ratios in simplest form of X and Z. 1. sin X = _____ Z sin Z = _____ 15 2. cos X = _____ cos Z = _____ X 3. tan X = _____ 9 Y 12 tan Z = _____ 4 – 6: Find the sine, cosine, and tangent of both acute angles of the right triangle as reduced fractions. 4. sin P = _____ sin R = _____ P 8 5. cos P = _____ 6. tan P = _____ cos R = _____ Q R 15 tan R = _____ 7 – 9: Find the sine, cosine, and tangent of both acute angles of the right triangle as simplified fractions. Remember to rationalize denominators. 7. sin D _____ sin F _____ D 8. cos D _____ cos F _____ 5 9. tan D _____ tan F _____ E 8 F 10 – 12: Find the indicated trigonometric ratio as a fraction and then as a decimal rounded to four decimals. 10. sin M = _____ _____ sin X = _____ _____ M Z Y 20 11. tan L = _____ _____ tan Z = _____ _____ 30 12. cos L = _____ _____ cos Z = _____ _____ K 16 X 16 L 13 - 24: Use a calculator to find the value correct to three decimal places. 13. sin 52 _____ 14. cos 8 _____ 15. tan 72 _____ 16. sin 8 _____ 17. cos 58 _____ 18. tan 34 _____ 19. sin 62 _____ 20. cos 25 _____ 21. tan 8 _____ 22. sin 89 _____ 23. cos 1 _____ 24. tan 45 _____ 25 – 12: Use a scientific calculator and/or trigonometric tables to find the lengths of the labeled sides. Write the appropriate proportion, then solve. Round answers to 2 decimal places. 25. a = _____ b = _____ a 42 26. p = _____ q = _____ b p 25 5 27. u = _____ v = _____ D 2 2 v E F u 29. c = _____ d = _____ q 28. a = _____ b = _____ D 80 3 b 72 E F a 30. e = _____ f = _____ 10 f c d 25 40 8 e 31. g = _____ h = _____ 32. i = _____ j = _____ 5 g 20 i j 12 20 h 33. k = _____ l = _____ k 15 34. m = _____ n = _____ 10 l 62 m n 8 35. p = _____ q = _____ p 30 q 36. r = _____ s = _____ 7 60 s r 19 37. t = _____ u = _____ u t 38. v = _____ w = _____ 45 27 v 15 w 35 39. x = _____ y = _____ 40. b = _____ c = _____ x 80 28 y b 8 c 36 41 – 45: Write the appropriate proportion, then solve. Round answers to 2 decimal places. X 41. To measure the width, XY, of a river, a surveyor walks along the bank from point Y to point Z. She determines that mZ = 40 and ZY = 220 ft. XY = _____ Z 42. A ramp designed for performing tricks on water skis has an angle of elevation of 20. If the length of the ramp is 11 feet, what is the length of the vertical drop (distance form the end of the ramp to the water)? Y 11 ft x 20 x = _____ 5 x 43. A survey crew is planning a railroad line which rises to 1200 feet at a grade of 5. Solve for x, the length of the railroad line. x = _____ 44. A train is traveling up a slight grade with an angle of inclination of only 2. After traveling 1 mile, what is the vertical change in feet? x = _____ 45. A kite was flying 100 ft above the ground. The string was being held at a 30 angle with ground. How long was the string? _____ 1 mile 2 1200 ft