SOLUTION: a 10 foot ladder is leaning against a verticle wall. the base of the ladder is 3 feet from the wall. how high is the point where the ladder touches the wall?

Question 186779: a 10 foot ladder is leaning against a verticle wall. the base of the ladder is 3 feet from the wall. how high is the point where the ladder touches the wall?
Answer by uday1435(57) (Show Source): You can put this solution on YOUR website!
Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft

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