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
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
Since m∠W=90°, so ΔUVW is a right angle triangle.
[tex]\cos (\angle V) = \dfrac{VW}{UV}[/tex]
[tex]\cos (\angle V) = \dfrac{1.9}{4.1}[/tex]
Taking cos inverse on both sides.
[tex]\angle V= \cos ^{-1}(\dfrac{1.9}{4.1})[/tex]
[tex]\angle V=62.39233194[/tex]
[tex]\angle V\approx 62.4[/tex]
Therefore, the measure of angle V is 62.4°.
