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

Answer:

$6.4$

Explanation:

Step1: Identify trig - ratio

In right - triangle $VWX$, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 39^{\circ}$, the opposite side to $\angle X$ is $VW = 4$, and the hypotenuse is $WX$.

Step2: Set up the equation

We have $\sin39^{\circ}=\frac{VW}{WX}$. Since $VW = 4$, the equation becomes $\sin39^{\circ}=\frac{4}{WX}$.

Step3: Solve for $WX$

We can re - arrange the equation to $WX=\frac{4}{\sin39^{\circ}}$. Given that $\sin39^{\circ}\approx0.6293$, then $WX=\frac{4}{0.6293}\approx6.4$.