find m∠s.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠s = □°

Explanation:

Step1: Identify the sine - ratio

In right - triangle $RSQ$, $\sin S=\frac{RQ}{SQ}$. Given $RQ = 2.4$ and $SQ=4.8$. So, $\sin S=\frac{2.4}{4.8}$.

Step2: Calculate the value of $\sin S$

$\sin S=\frac{2.4}{4.8}=0.5$.

Step3: Find the angle $S$

We know that if $\sin S = 0.5$, then $S=\sin^{- 1}(0.5)$. Using the inverse - sine function, $S = 30^{\circ}$.

Answer:

$30$