Question 192736: A painter leans a ladder against one wall of a house. The ladder is 16ft long. The base of the ladder is 10ft from the house. How high does the ladder reach on the wall of the house?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! a quick sketch helps clarify.
This is a right triangle problem, ground is perpendicular to bldg, one leg is 10, another is height, and hypotenuse is length of ladder, 16.
use pythagorous to resolve, c^2=a^2 +b^2
16^2=10^2 +h^2
16^2-10^2=h^2
h^2=156
h=12.5
check, 12.5^2+10^2=16^2 ok
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