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

Answer:

Measure of angle V = 62.4°.

Step-by-step 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

$\cos \theta = \dfrac{adjacent}{hypotenuse}$

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

$\cos (\angle V) = \dfrac{VW}{UV}$

$\cos (\angle V) = \dfrac{1.9}{4.1}$

Taking cos inverse on both sides.

$\angle V= \cos ^{-1}(\dfrac{1.9}{4.1})$

$\angle V=62.39233194$

$\angle V\approx 62.4$

Therefore, the measure of angle V is 62.4°.