Question

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

Explanation:

Step1: Identify trigonometric ratio

We use $\sin(X) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{WY}{WX}$, where $\angle X=59^\circ$, $WY=5$.

Step2: Rearrange to solve for WX

$WX = \frac{WY}{\sin(59^\circ)}$

Step3: Calculate final value

$WX = \frac{5}{\sin(59^\circ)} \approx \frac{5}{0.8572} \approx 5.8$

Answer:

$\boldsymbol{5.8}$