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20 August, 22:48

A surveyor stands 75 feet from a building. He measures the angle of elevation to the top of the building at 67.5°. How tall is the building?

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  1. 21 August, 01:32
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    1694 ft

    Step-by-step explanation:

    The adjacent side of this right triangle is 75 feet in length, and the two given angles are 90 degrees and 67.5 degrees. Since the adjacent side is given and the opposite side is what we are looking for we can use

    tan (x) = opposite/adjacent insert the given information into the equation

    tan (67.5) = opposite / 75ft multiply both sides of the equation by 75

    tan (67.5) * 75 = opposite leaving us with the target variable

    once you plug that equation into a calculator you get 1694 as your nearest whole answer.
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