Question

find the angle in degrees, rounded to one decimal.

Explanation:

Step1: Identify trigonometric ratio

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to angle $\theta$ is 5 and the hypotenuse is 11. So, $\sin\theta=\frac{5}{11}$.

Step2: Find the angle

We know that $\theta = \sin^{- 1}(\frac{5}{11})$. Using a calculator, $\theta=\sin^{-1}(\frac{5}{11})\approx27.0^{\circ}$.

Answer:

$27.0$