Question

In ΔUVW, the measure of ∠W=90°, UV = 4.1 feet, and VW = 1.9 feet. Find the measure of ∠V to the nearest tenth of a degree.

Answer 1

Measure of angle V = 62.4°.

Explanation:

Given information : In ΔUVW, m∠W=90°, UV = 4.1 feet, and VW = 1.9 feet.

We need to find the measure of ∠V to the nearest tenth of a degree.

In a right angled triangle

`\cos \theta = (adjacent)/(hypotenuse)`

Since m∠W=90°, so ΔUVW is a right angle triangle.

`\cos (\angle V) = (VW)/(UV)`

`\cos (\angle V) = (1.9)/(4.1)`

Taking cos inverse on both sides.

`\angle V= \cos ^(-1)((1.9)/(4.1))`

`\angle V=62.39233194`

`\angle V\approx 62.4`

Therefore, the measure of angle V is 62.4°.