Question

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

Answer 1

Answer:

B on edge

Step-by-step explanation:

Answer 2

Answer:

sin(x) = StartFraction 9 Over 15.2 EndFraction

Step-by-step explanation:

From the triangle given;

The length of hypotenuse FG =  15.2 meter

Since FE is the side facing the angle FGE, then;

the length of FE is opposite = 9 meters

m<FGE = x

According to SOH CAH TOA

sin theta = opp/hyp

sin m<FGE =  FE/FG

Substitute the given values

sin x = 9/15.2

Hence the correct answer is sin(x) = StartFraction 9 Over 15.2 EndFraction