What is the length of segment GH? Round to the nearest hundredth.

In triangle FGH, side GH is opposite to angle F
To find GH we use trigonometric ratio
Sin (angle) = [tex] \frac{opposite side}{hypotenuse} [/tex]
Angle F = 33, FH = 80cm , GH = x
sin(F) = [tex] \frac{GH}{FH} [/tex]
sin(33) = [tex] \frac{x}{80} [/tex]
0.5446390= [tex] \frac{x}{80} [/tex]
x = 43.57 cm
the length of segment GH = 43.57 cm