Question

calculate the given angle, to the nearest degree.
55
?
33
44
a. 37°
b. 53°
c. 41°
d. 61°

Explanation:

Step1: Recall the sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the side opposite the unknown angle is 33 and the hypotenuse is 55.

Step2: Calculate the sine of the angle

Let the unknown angle be $\theta$. Then $\sin\theta=\frac{33}{55} = 0.6$.

Step3: Find the angle

We know that $\theta=\sin^{- 1}(0.6)$. Using a calculator, $\sin^{-1}(0.6)\approx37^{\circ}$.

Answer:

A. $37^{\circ}$