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

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

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

Answer

Explanation:

Step1: Recall tangent function

In right - triangle $SRQ$, $\tan Q=\frac{SR}{RQ}$. Given $SR = 2.7$ and $RQ=5.3$.

Step2: Calculate tangent value

$\tan Q=\frac{2.7}{5.3}\approx0.5094$.

Step3: Find the angle

$Q=\arctan(0.5094)$. Using a calculator, $Q\approx26.9^{\circ}$.

Answer:

$26.9$