Question 328276
let the distance of the foot of the ladder to the wall be x feet
length of ladder = x+2
height at which it touches the wall = 6 feet
They form a right triangle
(x+2)^2= x^2+6^2
x^2+4x+4=x^2+36 ( x^2 cancels off)
4x+4=36
4x=36-4
4x=32
x=32/8
x=8
x+2 = 8+2 = 10 feet is the length of the ladder.