solve for $x$ in the triangle. round your answer to the nearest tenth.\n$x = \\square$

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ Here, $\theta=48^\circ$, opposite side $=17$, adjacent side $=x$. So $\tan(48^\circ) = \frac{17}{x}$

Step2: Rearrange to solve for $x$

$x = \frac{17}{\tan(48^\circ)}$

Step3: Calculate value

First, $\tan(48^\circ) \approx 1.1106$ Then $x \approx \frac{17}{1.1106} \approx 15.3$

Answer:

15.3