Question

6 multiple choice 1 point find the measure of the indicated angle. round to the nearest degree. 20 48 67° 23° 65° 25°

Explanation:

Step1: Use the tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to the indicated angle is $20$ and the adjacent side is $48$. So, $\tan\theta=\frac{20}{48}$.

Step2: Calculate the angle

$\theta = \arctan(\frac{20}{48})$. Using a calculator, $\frac{20}{48}\approx0.4167$. Then $\theta=\arctan(0.4167)\approx23^{\circ}$.

Answer:

$23^{\circ}$