Question

find x. round your answer to the nearest tenth of a degree.

Explanation:

Step1: Identify trigonometric ratio

We know that $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to angle $x$ is 3 and the hypotenuse is 5. So $\sin x=\frac{3}{5}$.

Step2: Solve for x

We use the inverse - sine function. $x = \sin^{-1}(\frac{3}{5})$.
Using a calculator, $\sin^{-1}(\frac{3}{5})\approx36.9^{\circ}$.

Answer:

$36.9$