Mr. Norman is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 15 feet high. The base of the ladder is 8 feet away from the house, where Mr. Norman's son is holding it steady. How long is the ladder?

feet

The ladder is 17 feet long

Step-by-step explanation:

Let

a ----> the height of the root in feet

b ----> the horizontal distance of the base of the ladder from the house in feet

we have

To find out the how long is the ladder apply the Pythagorean Theorem

Let

c ---> the length of the ladder

where

c is the greater side (hypotenuse)

a and b are the legs

substitute the given values

therefore

The ladder is 17 feet long

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system