SOLUTION: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8ft less than the length of the ladder. How high up the side of the building i

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Question 1041699: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4ft less than the length of the ladder
Found 3 solutions by asuar010, advanced_Learner, MathTherapy:
Answer by asuar010(338)   (Show Source): You can put this solution on YOUR website!

Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
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Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4ft less than the length of the ladder
Let the distance up to where the top of the ladder is, be D

Then length of ladder = D + 4

Distance from the bottom of ladder to base of building = D + 4 - 8, or D - 4

Using Pythag, we get: 







D(D - 16) = 0

D, or distance up to where the top of the ladder is =      OR       D = 0 (ignore) 

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