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16 February, 08:17

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

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  1. 16 February, 08:28
    0
    54.5°

    Step-by-step explanation:

    You know that in a right triangle, the sine of an angle is given by ...

    Sin = Opposite/Hypotenuse

    sin (D) = EF/ED = 57/70

    The inverse sine function is used to find the angle:

    ∠D = arcsin (57/70)

    ∠D ≈ 54.5°
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