577 5.4 Solutions and Applications of Right Triangles 48. 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? 10,500 ft 13° 509 49. 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 exit 51.74 ft 50. 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. 28.0 m 468 409 148 109 x 51. 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. 52. 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. 53. Angle of Elevation of the Pyramid of the Sun The Pyramid of the Sun is in the ancient Mexican city of Teotihuacan. The base is a square with sides about 700 ft long. The height of the pyramid is about 200 ft. Find the angle of elevation u of the edge indicated in the figure to two significant digits. (Hint: The base of the triangle in the figure has measure half the diagonal of the square base of the pyramid.) (Data from www.britannica.com) u 700 ft 700 ft 200 ft
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