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I need help solving these problems with the steps on 13, 14, 15, 16, 17, 18, 19, 20, 45, 46, 47, 54, 55, 56, 57,

I need help solving these problems with the steps on 13, 14, 15, 16, 17, 18, 19, 20, 45, 46, 47, 54, 55, 56, 57, 58

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Solve each right triangle. When two sides are given, give angles in degrees and minutes. See Examples 1 and 2. 13. B 14. Y 964 m a 89.6 cm X 36 20' C A b 47.80 X y Z\fSolve each problem. See Examples 1-4. 45. 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 13.5 m the horizontal. 43 50' 46. Distance across a Lake To find the distance RS across a lake, a surveyor lays off length RT = 53.1 m, so that angle T = 32 10' and angle S = 57 50'. Find length RS. Lake R T 47. Height of a Building From a window 30.0 ft above the street, the angle of elevation to the top of the building across the street is 50.0 and the angle of depression to the base of this build- 50.00 ing is 20.0. Find the height of the 20.10 building across the street. 30.0 ft54. Airplane Distance An airplane is flying 10,500 ft above level ground. The angle of depression from the plane to the base of a tree is 13 50'. How far horizontally must the plane fly to be directly over the tree? 13 50' 10,500 ft | 55. Angle of Depression of a Light A company safety committee has recommended that a floodlight be mounted in a parking lot so as to illuminate the employee exit, as shown in the figure. Find the angle of depression of the light to the nearest minute. 39.82 ft Employee 51.74 ft exit 56. Height of a Building The angle of elevation from the top of a small building to the top of a nearby taller building is 46 40', and the angle of depression to the bottom is 14 10'. If the shorter building is 28.0 m high, find the height of the taller building. 46 40' -14 10' 28.0 m2.4 Solutions and Applications of Right Triangles | 199 57. Angle of Elevation of the Sun The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of elevation of the sun to the nearest hundredth of a degree. 58. Angle of Elevation of the Sun The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the sun to the nearest hundredth of a degree

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