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?

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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.

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