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

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(39620) (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,

and in this case, the question asks for x+3.
(A different assigning of variables is possible.)

Simplifying the equation, you find , and x+3 corresponds to 12 feet up the wall.
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