782 CHAPTER 8 Applications of Trigonometry Find the unknown angles in triangle ABC for each triangle that exists. See Examples 4–6. 33. A = 29.7°, b = 41.5 ft, a = 27.2 ft 34. B = 48.2°, a = 890 cm, b = 697 cm 35. C = 41° 20′, b = 25.9m, c = 38.4m 36. B = 48° 50′, a = 3850 in., b = 4730 in. Find the length of each side labeled a. Do not use a calculator. 13. B a C A 608 758 2 14. B a C A 458 1058 10 Solve each triangle ABC. See Example 1. 15. C B A 378 488 18 m 16. A C B 528 298 43 cm 17. C A B 115.58 27.28 76.0 ft 18. C A B 18.78 124.18 94.6 m 19. A = 68.41°, B = 54.23°, a = 12.75 ft 20. C = 74.08°, B = 69.38°, c = 45.38m 21. A = 87.2°, b = 75.9yd, C = 74.3° 22. B = 38° 40′, a = 19.7 cm, C = 91° 40′ 23. B = 20° 50′, C = 103° 10′, AC = 132 ft 24. A = 35.3°, B = 52.8°, AC = 675 ft 25. A = 39.70°, C = 30.35°, b = 39.74m 26. C = 71.83°, B = 42.57°, a = 2.614 cm 27. B = 42.88°, C = 102.40°, b = 3974 ft 28. C = 50.15°, A = 106.1°, c = 3726yd 29. A = 39° 54′, a = 268.7m, B = 42° 32′ 30. C = 79° 18′, c = 39.81mm, A = 32° 57′ 32. Find the measure of each angle B. Do not use a calculator. 31. C A B 608 2 6 C A B 458 3 3 2
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