Question

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

Explanation:

Step1: Recall tangent - inverse formula

In right - triangle FHG, $\tan H=\frac{FG}{FH}$. Given $FH = 3.5$ and $FG=8.6$.

Step2: Calculate the tangent of angle H

$\tan H=\frac{8.6}{3.5}\approx2.45714$.

Step3: Find the measure of angle H

$m\angle H=\arctan(2.45714)$. Using a calculator, $m\angle H\approx67.9^{\circ}$.

Answer:

$67.9$