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.

Question

Mathematics

Zaniyah Mckay

21 August, 13:27

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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Answers (1)

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Douglas · Answer 1

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°