Question

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.

Answer 1

45.4

Explanation:

Sin S = (3.7/5.2)

S=45.3602≈45.4

∘

Answer 2

45.4°

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°