John is constructing an A-shape roof above the barn. The base of the roof is going to be 36 feet long and have 24 degree angle of elevation on each side.
What will be the length of the sloping side?

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is 40.

proof:

the height of the surface increases from the center out to the sides of the road

it is c!