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agasfer [191]
3 years ago
10

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.

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0

Answer:

  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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