Question

find the measure of x. round to the nearest hundredth.

Explanation:

Step1: Use tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 25^{\circ}$, the opposite side to the angle $\theta$ is 7 and the adjacent side is $x$. So, $\tan(25^{\circ})=\frac{7}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{7}{\tan(25^{\circ})}$. Since $\tan(25^{\circ})\approx0.4663$, then $x=\frac{7}{0.4663}\approx15.01$.

Answer:

$15.01$