Question

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.

Answer 1

Answer:16.8

Explanation:

deltamath

Answer 2

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`