Question

8
what is the measure of the missing angle? round answer to nearest whole number.

Explanation:

Step1: Identify trigonometric ratio

We use $\sin(x)$: opposite over hypotenuse.
$\sin(x) = \frac{12}{20}$

Step2: Simplify the fraction

Reduce the fraction to lowest terms.
$\sin(x) = \frac{3}{5} = 0.6$

Step3: Calculate inverse sine

Find $x$ using arcsine function.
$x = \arcsin(0.6)$

Step4: Round to nearest whole number

Compute and round the result.
$x \approx 37$

Answer:

$37^\circ$