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

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

Using the sine ratio, the equation that can be used to find m∠FGE is: B. sin (x) = 9/15.2.

What is the Sine Ratio?

The sine ratio is one of the trigonometry ratio that can be used to solve a right triangle.

It is given as: sin ∅ = opposite/hypotenuse

Given:

∅ = xOpposite = FE = 9 mHypotenuse = FG = 15.2 m

Thus:

sin (x) = 9/15.2

Therefore, using the sine ratio, the equation that can be used to find m∠FGE is: B. sin (x) = 9/15.2.

Learn more about sine ratio on:

link

48x^7y^3. the app is photomath

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