Question

solve for the missing angle

Explanation:

Step1: Recall sine - function formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to the angle $\theta$ is $16$ cm and the hypotenuse is $20$ cm.

Step2: Calculate sine of the angle

$\sin\theta=\frac{16}{20} = 0.8$.

Step3: Find the angle

We know that $\theta=\sin^{- 1}(0.8)$. Using a calculator, $\theta=\sin^{-1}(0.8)\approx53.13^{\circ}$.

Answer:

$53.13^{\circ}$