Geometry

Two buildings are separated by an alley. From a window 80 feet above the ground in one of the buildings, it can be observed that the angle of elevation to the top of the other building is 62*, and the angle of depression the the bottom of the building is 75*. Find the height, to the nearest foot, of the building for which these measurements were taken.

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  1. tan 75 = 80/d
    d = 21.4 ft between buildings

    tan 62 = x/21.4
    x = 40.3 = height abobe 80
    so
    120 ft

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