solve for $x$. round to the nearest tenth, if necessary.

Answer:

$95.1$

Explanation:

Step1: Identify the trigonometric ratio

We use the tangent ratio. $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 19^{\circ}$, the opposite side to $\theta$ is $33$ and the adjacent side is $x$. So $\tan(19^{\circ})=\frac{33}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{33}{\tan(19^{\circ})}$. Since $\tan(19^{\circ})\approx0.3443$, then $x = \frac{33}{0.3443}\approx95.1$.