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
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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):
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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.
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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. = .
