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

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle $GIH$, $\tan H=\frac{GI}{IH}$. Given $GI = 3$ and $IH = 2$.

Step2: Calculate the tangent of angle $H$

$\tan H=\frac{3}{2}=1.5$.

Step3: Find the measure of angle $H$

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

Answer:

$56.3$