Answer:
16.76°
Step-by-step 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.
[tex] \tan(m \angle \: w) = \frac{2.5}{8.3} [/tex]
[tex] \tan(m \angle \: w) = 0.301[/tex]
Take tangent inverse to get:
[tex]m \angle \: w= { \tan}^{ - 1} (0.301)[/tex]
[tex]m \angle \: w=16.76 \degree[/tex]
