Please help me do pages 309-11, exercises 16, 18, 20, 22, 26, 28, 30, 36, 38, 40, 46, 48

EXERCISES Practice Solve each equation if O'sx $ 360 15. sin x = 1 16. tan x= -V3 17. cos x = V3 18. Cos x = 0 19. sin x = V2 20. tan x = -1 21. Name four angles whose sine equals Evaluate each expression. Assume that all angles are in Quadrant I. 22. cos arccos 5) 23. tan tan-1 = 24. sec | cos-1 2 25. cac (arcsin 1) 26. tan | cos 1 5 13 27. cos sin 1 www.amc.glencoe.com/self_check_quiz Lesson 5.5 Solving Right Triangles 309 CONTENTS Solve each problem. Round to the nearest tenth. 28. If n = 15 and m = 9, find N. 29. If m = 8 and p = 14, find M 30. If n = 22 and p = 30, find M. 31. If m = 14.3 and n = 18.8, find N. 32. Ifp = 17.1 and m = 7.2, find N. 33. If m = 32.5 and p = 54.7, find M. 34. Geometry If the legs of a right triangle are 24 centimeters and 18 centimeters long, find the measures of the acute angles. 35. Geometry The base of an isosceles triangle is 14 inches long. Its height is 8 inches. Find the measure of each angle of the triangle. Solve each triangle described, given the triangle at the right. Round to the nearest tenth, if necessary. 36. a = 21, c = 30 37. A = 35', b = 8 38. B = 47", 6 = 12.5 39. a = 3.8, b = 4.2 40. c = 9.5, b = 3.7 41. a =13.3, A = 51.5" 42. B = 33', c = 15.2 43. c = 9.8, A = 14' Applications 44. Railways The steepest railway in the world is the Katoomba Scenic and Problem Railway in Australia. The passenger car is pulled up the mountain by twin steel cables. It travels along the track 1020 feet to obtain a change in altitude of 647 feet. a. Find the angle of elevation of the railway. b. How far does the car travel in a horizontal direction? Solving 45. Critical Thinking Explain why each expression is impossible. a. sin 2.4567 b. sec 0.5239 C. COS (-3.4728)46. Basketball The rim of a basketball hoop is 10 feet above the ground. The free-throw line is 15 feet from the basket rim. If the eyes of a basketball player are & feet above the ground, what is the angle of elevation of the player's line of sight when shooting a free throw to the rim of the hasket? 47. Read Safety Several years ago, a section on 75 near Cincinnati, Ohio, had a rise of 8 meters per 100 meters of horizontal distance. However, there were numerous accidents involving large trucks on this section of highway Ciwvil engineers decided to reconstruct the highway so that there is only a rise of 5 meters per 100 meters of horizontal distance. a. Find the original angle of elevation. b. Find the new angle of elevation. A10 cChapfer 5 The Trigonometric Functions I 48. Air Travel At a local airport, a light that produces a powerful white-green beam is placed on the top of a 45-feot tower. If the tower is at one end of the rumway, find the angle of depression needed so that the light extends to the end of the Z00-foot runway