SOLUTION: A fifteen foot long ladder is leaned against a wall so that the distance it reaches up the wall is 3 feet more than the distance between the base of the ladder and the wall. How f

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Question 1154154: A fifteen foot long ladder is leaned against a wall so that the distance it reaches up the wall is 3 feet more than the distance between the base of the ladder and the wall. How far up the all does the ladder reach?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing and labeling the figure exactly as described, x being the distance from bottom of ladder to the wall on the ground,
%28x%2B3%29%5E2%2Bx%5E2=15%5E2
and in this case, the question asks for x+3.
(A different assigning of variables is possible.)

Simplifying the equation, you find x%28x%2B3%29=108=9%2A12, and x+3 corresponds to 12 feet up the wall.