575 5.4 Solutions and Applications of Right Triangles Solve each right triangle. When two sides are given, give angles in degrees and minutes. See Examples 1 and 2. 15. C B A 964 m a b 36° 209 16. 89.6 cm Y Z X 47.8° y x 17. N M P 124 m p n 51.28 18. C B A 35.9 km c b 318 409 19. A C B 42.0892° a 56.851 cm c 20. C a A B b 3579.42 m 68.5142° 21. B c A C 16.2 ft 12.5 ft 22. 15.3 m A b C B 4.80 m Solve each right triangle. In each case, C = 90°. If angle information is given in degrees and minutes, give answers in the same way. If angle information is given in decimal degrees, do likewise in answers. When two sides are given, give angles in degrees and minutes. See Examples 1 and 2. 23. A = 28.0°, c = 17.4 ft 24. B = 46.0°, c = 29.7m 25. B = 73.0°, b = 128 in. 26. A = 62.5°, a = 12.7m 27. A = 61.0°, b = 39.2 cm 28. B = 51.7°, a = 28.1 ft 29. a = 13m, c = 22m 30. b = 32 ft, c = 51 ft 31. a = 76.4yd, b = 39.3yd 32. a = 958m, b = 489m 33. a = 18.9 cm, c = 46.3 cm 34. b = 219m, c = 647m 35. A = 53°24′, c = 387.1 ft 36. A = 13°47′, c = 1285m 37. B = 39°09′, c = 0.6231m 38. B = 82°51′, c = 4.825 cm Solve each problem. See Examples 1–4. 39. Height of a Ladder on a Wall A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the top of the fire truck) if the ladder makes an angle of 43° 50′ with the horizontal. 13.5 m 438 509 d
RkJQdWJsaXNoZXIy NjM5ODQ=