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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.

User Merve Kaya
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5.2k points

2 Answers

3 votes

Answer:

70.8

Explanation:

User Mbrig
by
5.3k points
2 votes

Answer:

70.8°

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°

User Michael Mangold
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5.9k points