SOLUTION: The foot of an extension ladder is 7 ft. from the wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder

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Question 200272: The foot of an extension ladder is 7 ft. from the wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder?
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
(7)^2+x^2=(x+1)^2
49+x^2= x^2+2x+1
2x=48
x=24 heigth on wall
x+1=25 length of ladder