SOLUTION: A 40 foot ladder is leaning against a building so that the distance from the bottom of the ladder to the building is 8 feet more than the distance the ladder reaches up the buildin

Question 1032268: A 40 foot ladder is leaning against a building so that the distance from the bottom of the ladder to the building is 8 feet more than the distance the ladder reaches up the building. find how far up the building the ladder reaches.
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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A 40 foot ladder is leaning against a building so that the distance from the bottom of the ladder to the building is 8 feet more
than the distance the ladder reaches up the building. find how far up the building the ladder reaches.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Let x = how far up the building the ladder reaches (vertical leg).
Then the other leg is (x+8).

The Pythagorean equation is 

 = .

 = ,

 = ,

(x-24)*(x+32) = 0,

The only positive root is x = 24.

Check.  = .

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