Question

find m∠s. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠s =

Explanation:

Step1: Recall trigonometric ratio

In right - triangle $SQR$, $\sin S=\frac{QR}{SR}$. Here $QR = 1.9$ and $SR=5.1$.

Step2: Calculate sine of angle S

$\sin S=\frac{1.9}{5.1}\approx0.3725$.

Step3: Find the measure of angle S

$S=\sin^{- 1}(0.3725)$. Using a calculator, $S\approx21.9^{\circ}$.

Answer:

$21.9$