Question

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

Explanation:

Step1: Identify trigonometric ratio

In right $\triangle WVX$, $\angle X=52^\circ$, side $WV=5.1$ (opposite $\angle X$), and $VX$ is adjacent to $\angle X$. Use tangent:
$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(52^\circ)=\frac{5.1}{VX}$

Step3: Solve for $VX$

Rearrange to isolate $VX$:
$VX=\frac{5.1}{\tan(52^\circ)}$
Calculate $\tan(52^\circ)\approx1.2799$, so:
$VX\approx\frac{5.1}{1.2799}\approx3.98$

Step4: Round to nearest tenth

$VX\approx4.0$

Answer:

$VX = 4.0$