Question

In ΔVWX, the measure of ∠X=90°, XV = 27 feet, and WX = 57 feet. Find the measure of ∠V to the nearest degree.

Answer 1

`<V=65\°`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle VWX

`tan(V)=(WX)/(XV)` -----> opposite side angle V divided by the adjacent side angle V

substitute the values

`tan(V)=(57)/(27)`

`<V=arctan((57)/(27))=65\°`