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

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.

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:

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

step-by-step explanation: noo

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.