Asked by julie

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 15.2 meters and the length of F E is 9 meters. Angle F G E is x.
Which equation can be used to find the measure of angle FGE?

sin(x) = StartFraction 15.2 Over 9 EndFraction
sin(x) = StartFraction 9 Over 15.2 EndFraction
cos(x) = StartFraction 15.2 Over 9 EndFraction
cos(x) = StartFraction 9 Over 15.2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
sin(x) = 9/15.2

Reason: angle FGE is at G, the side opposite it is FE = 9 and the hypotenuse is FG = 15.2, so sin(x) = opposite/hypotenuse = 9/15.2.