Answer:
m∠F = 20.6°
Step-by-step explanation:
In the given right triangle ΔHGF,
∠G = 90°
By applying tangent rule in the triangle,
tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{HG}}{\text{GF}}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]
= 20.556°
= 20.6°
Therefore, measure of angle F is 20.6°
