Question

value: 3
calculate the given angle, to the nearest degree.
48
?
50
a. 74°
b. 46°
c. 44°
d. 16°

Explanation:

Step1: Identify the tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to the angle $\theta$ is 48 and the adjacent side is 50. So, $\tan\theta=\frac{48}{50} = 0.96$.

Step2: Calculate the angle

We know that $\theta=\arctan(0.96)$. Using a calculator, $\theta=\arctan(0.96)\approx44^{\circ}$.

Answer:

C. $44^{\circ}$