find $m\\angle g$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle…
find $m\\angle g$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle g = \\square^\\circ$\nsubmit
Answer
Explanation:
Step1: Identify opposite/hypotenuse
For $\angle G$, opposite side $FH=3$, hypotenuse $FG=7$.
Step2: Apply sine definition
$\sin(\angle G) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{3}{7}$
Step3: Calculate inverse sine
$\angle G = \arcsin\left(\frac{3}{7}\right)$ Use calculator to compute: $\arcsin\left(\frac{3}{7}\right) \approx 25.4^\circ$
Answer:
$25.4$