SOLUTION: Two ladders lean against opposite walls in a 10-foot wide alley. One ladder reaches 30 feet up the wall; the other reaches 20 feet up the wall. The foot of each ladder is at the

Question 306424: Two ladders lean against opposite walls in a 10-foot wide alley. One ladder reaches 30 feet up the wall; the other reaches 20 feet up the wall. The foot of each ladder is at the base of the opposite wall. How high above the ground do the ladders cross?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let the first ladder be the 30' ladder.
The base is (0,0), then end at (10,30).
The equation that describes this ladder is

The second ladder's base is (10,0) and the end is at (0,20).
The equation that describes this ladder is

Find the intersection point.

When , then

They intersect 12' above the ground.

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