(20 pts! ) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

.

Input into calculator:

(approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

Subtract 1600 on both sides:

Take square root of both sides:

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

Multiply both sides by 40:

Input into calculator:

I didn't do it this way because your problem suggested you use their formula to find the height.

answer is more than one

step-by-step explanation: