A ladder is resting against the wall. The top of the ladder touches the wall at a height of 12 feet. Find the distance from the wall to the bottom of the ladder and the length of the ladder, if the length of the ladder is 3 foot more than 2 times its distance from the wall.
Let d be the distance from the wall [tex] {12}^{2} = {(2d + 3)}^{2} - {d}^{2} \\ 144 = {4d}^{2} + 12d + 9 - {d}^{2} \\ 3d ^{2} + 12d - 135 = 0 \\ d = 5 \: or \: - 9(rej)[/tex] Length of the ladder=2x5+3=13 feet
