Question

find wx. write your answer as an integer or as a decimal rounded to the nearest tenth. wx =

Explanation:

Step1: Identify trigonometric ratio

In right $\triangle WXY$, $\angle X=31^\circ$, opposite side to $\angle X$ is $WY=3$, and $WX$ is the adjacent side. We use the tangent ratio:
$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(31^\circ)=\frac{3}{WX}$

Step3: Solve for $WX$

Rearrange to isolate $WX$:
$WX=\frac{3}{\tan(31^\circ)}$
Calculate $\tan(31^\circ)\approx0.6009$, so:
$WX\approx\frac{3}{0.6009}\approx5.0$

Answer:

5.0