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11 April, 03:25

In ΔSTU, the measure of ∠U=90°, TU = 3.7 feet, and ST = 5.2 feet. Find the measure of ∠S to the nearest tenth of a degree.

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  1. 11 April, 06:41
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    45.4°

    Step-by-step explanation:

    The angle and side lengths in a right triangle are related by ...

    Sin = Opposite/Hypotenuse

    sin (S) = TU/TS = 3.7/5.2

    Using the inverse sine function, we have ...

    ∠S = arcsin (3.7/52)

    ∠S ≈ 45.4°
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