Question

find the measure of the indicated angle. round to the nearest degree.
20
48
?
65°
23°
25°
67°

Explanation:

Step1: Use tangent function

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan\theta = \frac{20}{48}$.

Step2: Calculate the angle

$\theta=\arctan(\frac{20}{48})$. Using a calculator, $\theta=\arctan(\frac{5}{12})\approx 22.62^{\circ}$. Rounding to the nearest degree gives $\theta\approx 23^{\circ}$.

Answer:

$23^{\circ}$