In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet. Find the measure of ∠W to the nearest tenth of a degree.

Question

asked Sep 11, 2021 34.5k views

2 Answers

PAG · Answer 1 · 2021-09-16T02:34:42+0000

Answer:

16.76°

Explanation:

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.

We want to find the measure of <W.

We know side length that is adjacent and opposite to <W.

We can use the tangent ratio, to find the measure of <W.

The tangent ratio is opposite over hypotenuse.

$\tan(m \angle \: w) = (2.5)/(8.3)$

$\tan(m \angle \: w) = 0.301$

Take tangent inverse to get:

$m \angle \: w= { \tan}^( - 1) (0.301)$

$m \angle \: w=16.76 \degree$