Question

consider the following triangle. if sin θ = 3/5, what is the measure of the angle? a. 53.1° b. 36.9° c. 30.1° d. 59°

Explanation:

Step1: Use inverse - sine function

We know that if $\sin\theta=\frac{3}{5}$, then $\theta = \sin^{- 1}(\frac{3}{5})$.

Step2: Calculate the value

Using a calculator in degree - mode, $\sin^{-1}(\frac{3}{5})\approx36.9^{\circ}$.

Answer:

b. $36.9^{\circ}$