Question

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

Answer 1

43.57 hope this helps.

Answer 2

In triangle FGH, side GH is opposite to angle F

To find GH we use trigonometric ratio

Sin (angle) = $\frac{opposite side}{hypotenuse}$

Angle F = 33, FH = 80cm , GH = x

sin(F) = $\frac{GH}{FH}$

sin(33) = $\frac{x}{80}$

0.5446390= $\frac{x}{80}$

x = 43.57 cm

the length of segment GH = 43.57 cm