Question

question solve for x. round to the nearest tenth, if necessary. answer attempt 1 out of 2 x =

Explanation:

Step1: Identify trigonometric relation

In right - triangle $\triangle UVW$, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 28^{\circ}$, the adjacent side to $\angle U$ is $x$ and the opposite side is $4$. So, $\tan(28^{\circ})=\frac{4}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{4}{\tan(28^{\circ})}$. Since $\tan(28^{\circ})\approx0.5317$, then $x=\frac{4}{0.5317}\approx7.5$.

Answer:

$7.5$