find m∠h.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠h = □°
find m∠h.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠h = □°
Answer
Explanation:
Step1: Recall tangent - ratio formula
In right - triangle $FGH$ with right - angle at $F$, $\tan H=\frac{FG}{FH}$. Here, $FG = 4$ and $FH = 7$. So, $\tan H=\frac{4}{7}$.
Step2: Find the angle using inverse tangent
$H=\arctan(\frac{4}{7})$. Using a calculator, $H=\arctan(\frac{4}{7})\approx29.7^{\circ}$.
Answer:
$29.7$