In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

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  1. Answer:

    FD ≈ 252.8 feet

    Step-by-step explanation:

    By applying tangent rule in the given right triangle,

    tan(20°) =  

    tan(20°) =  

    0.36397 =  

    FD =  

    FD = 252.77

    FD ≈ 252.8 feet

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