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27 May, 21:37

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

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  1. 27 May, 23:55
    0
    78°

    Step-by-step explanation:

    The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

    Cos = Adjacent/Hypotenuse

    cos (F) = FG/FE = 1.5/7.5 = 0.2

    The inverse cosine function is used to find the angle:

    ∠F = arccos (0.2)

    ∠F ≈ 78°
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