Respuesta :

43.57 hope this helps.

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

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