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) =
`(opposite side)/(hypotenuse)`

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

sin(F) =
`(GH)/(FH)`

sin(33) =
`(x)/(80)`

0.5446390=
`(x)/(80)`

x = 43.57 cm

the length of segment GH = 43.57 cm