SOLUTION: A 15-foot ladder is placed against the wall of a house such that the bottom of the ladder is at a distance of 10 feet from the wall.At what height does the ladder touch the house?
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: A 15-foot ladder is placed against the wall of a house such that the bottom of the ladder is at a distance of 10 feet from the wall.At what height does the ladder touch the house?
Log On
Question 23222: A 15-foot ladder is placed against the wall of a house such that the bottom of the ladder is at a distance of 10 feet from the wall.At what height does the ladder touch the house? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Use Pythagoras. The hypotenuse is 15.
One leg is 10. Find the other leg.
15^2 = 10^2 + x^2
x^2 = 125
x = sqrt 125 = 5sqrt5
Cheers,
Stan H.