Question

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=42^\circ$, opposite side $=WV$, hypotenuse $=WX$. Wait, no—correction: $\sin(42^\circ)=\frac{VY}{WX}$? No, right triangle $VWX$, right angle at $V$. So $\sin(X)=\frac{VW}{WX}$, $\cos(X)=\frac{VX}{WX}$. $VX=4.5$, $\angle X=42^\circ$, so $\cos(42^\circ)=\frac{VX}{WX}$

Step2: Rearrange to solve for WX

$WX=\frac{VX}{\cos(42^\circ)}$

Step3: Substitute values and calculate

$VX=4.5$, $\cos(42^\circ)\approx0.7431$
$WX=\frac{4.5}{0.7431}\approx6.06$
Round to nearest tenth (or integer, but 6.1 is nearest tenth, 6 is integer)

Answer:

$6.1$ (or $6$ if rounding to integer)