Question

In ΔVWX, the measure of ∠X=90°, WX = 6.6 feet, and VW = 9.2 feet. Find the measure of ∠V to the nearest tenth of a degree.

Answer 1

45.8°

Explanation:

The mnemonic SOH CAH TOA reminds you of the relationship ...

Sin = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(V) = 6.6/9.2

V = arcsin(6.6/9.2) ≈ 45.8395°

∠V ≈ 45.8°

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It can help to draw a diagram of the triangle, so you can see the letter designations of adjacent and opposite sides and the hypotenuse.