Question

find the size in degrees of angle θ. select an answer: θ = 30° θ = 45° θ = 36.57° θ = 60°

Explanation:

Step1: Recall sine function definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to angle $\theta$ is $2m$ and the hypotenuse is $4m$. So, $\sin\theta=\frac{2}{4}=\frac{1}{2}$.

Step2: Find the angle

We know that if $\sin\theta = \frac{1}{2}$, and $\theta$ is an acute angle (since it is in a right - triangle), then $\theta=\sin^{- 1}(\frac{1}{2})$. Using the inverse - sine function, $\theta = 30^{\circ}$.

Answer:

$\theta = 30^{\circ}$