Question

calculate the given angle, to the nearest degree.
a. 74°
b. 46°
c. 44°
d. 16°

Explanation:

Step1: Use the tangent function

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

Step2: Find the angle using the inverse tangent function

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

Answer:

c. \(44^{\circ}\)