question\nsolve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x = $

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta=52^\circ$, opposite side $=9.8$, hypotenuse $=x$.

Step2: Rearrange to solve for $x$

$x=\frac{9.8}{\sin(52^\circ)}$

Step3: Calculate the value

First, $\sin(52^\circ)\approx0.7880$, so $x\approx\frac{9.8}{0.7880}\approx12.4$

Answer:

$12.4$