find x. round your answer to the nearest tenth of a degree. $x = \\square ^\\circ$

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute given values

$\sin(x) = \frac{16}{20} = 0.8$

Step3: Solve for x

$x = \arcsin(0.8)$

Step4: Round to nearest tenth

Calculate and round the result.

Answer:

$53.1^\circ$