589 CHAPTER 5 Review Exercises Solve each problem. 57. A student wants to use a calculator to find the value of cot 25°. However, instead of entering 1 tan 25 , he enters tan-1 25. Assuming the calculator is in degree mode, will this produce the correct answer? Explain. 58. Explain the process for using a calculator to find sec-1 10. Solve each right triangle. In Exercise 60, give angles to the nearest minute. In Exercises 61 and 62, label the triangle ABC as in Exercises 59 and 60. 59. A C B b a c = 748 58° 309 60. C A a = 129.7 b = 368.1 B c 61. A = 39.72°, b = 38.97 m 62. B = 47° 53′, b = 298.6 m Solve each problem. 63. Height of a Tower The angle of elevation from a point 93.2 ft from the base of a tower to the top of the tower is 38° 20′. Find the height of the tower. 93.2 ft 38° 209 64. Height of a Tower The angle of depression from a television tower to a point on the ground 36.0 m from the bottom of the tower is 29.5°. Find the height of the tower. 29.5° 36.0 m 65. Length of a Diagonal One side of a rectangle measures 15.24 cm. The angle between the diagonal and that side is 35.65°. Find the length of the diagonal. 66. Length of Sides of an Isosceles Triangle An isosceles triangle has a base of length 49.28 m. The angle opposite the base is 58.746°. Find the length of each of the two equal sides. 67. Distance between Two Points The bearing of point B from point C is 254°. The bearing of point A from point C is 344°. The bearing of point A from point B is 32°. If the distance from A to C is 780 m, find the distance from A to B. 68. Distance a Ship Sails The bearing from point A to point B is S 55° E, and the bearing from point B to point C is N 35° E. If a ship sails from A to B, a distance of 81 km, and then from B to C, a distance of 74 km, how far is it from A to C?
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