find m∠h. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠h = °
find m∠h. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠h = °
Answer
Explanation:
Step1: Use the tangent - ratio definition
In right - triangle $IHG$, $\tan H=\frac{IG}{IH}$. Given $IG = 5$ and $IH$ is the side adjacent to $\angle H$ and $IG$ is the side opposite to $\angle H$.
Step2: Calculate the tangent value
$\tan H=\frac{5}{8}=0.625$.
Step3: Find the angle using the inverse - tangent function
$H=\arctan(0.625)$. Using a calculator, $H=\arctan(0.625)\approx32.0^{\circ}$.
Answer:
$32.0$