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23 April, 05:02

In ΔSTU, the measure of ∠U=90°, TU = 6.6 feet, and US = 2.3 feet. Find the measure of ∠S to the nearest tenth of a degree.

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  1. 23 April, 06:59
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    70.8°

    Step-by-step explanation:

    The sides and angles are related in a right triangle such that ...

    Tan = Opposite/Adjacent

    tan (S) = UT/US = 6.6/2.3

    The inverse tangent function is used to find the angle from its value:

    ∠S = arctan (6.6/23)

    ∠S ≈ 70.8°
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