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25 October, 08:46

A surveyor is standing 30 feet from the base of a tall building. The surveyor measures the angle of elevation from the ground to the top of the building to be 65°. Find the height h of the building to the nearest foot.

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  1. 25 October, 09:51
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    We will use the tangent ratio since we have the adjacent side to the 65 degrees and we need to find the opposite side to the 65 degrees.

    Tan α = opp/adj

    Tan 65 = x/30

    To solve, multiply both sides by 30.

    30 Tan65 = x

    x = 64 ft
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