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QUESTION IMAGE

find vx. write your answer as an integer or as a decimal rounded to the…

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

We use tangent: $\tan(V) = \frac{XW}{VX}$

Step2: Rearrange to solve for VX

$VX = \frac{XW}{\tan(V)}$

Step3: Substitute known values

$XW=7$, $\angle V=59^\circ$, so $VX = \frac{7}{\tan(59^\circ)}$

Step4: Calculate and round

$\tan(59^\circ)\approx1.6643$, so $VX\approx\frac{7}{1.6643}\approx4.2$

Answer:

4.2