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

Answer:

$56.3^{\circ}$

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle $RST$ with right - angle at $S$, $\tan R=\frac{ST}{RS}$. Here, $RS = 4$ and $ST=6$.

Step2: Calculate the tangent of angle $R$

$\tan R=\frac{6}{4}=1.5$.

Step3: Find the measure of angle $R$

$R=\arctan(1.5)$. Using a calculator, $R\approx56.3^{\circ}$.