Problem: Ladder and Box

A ladder 5 meters long leans against a wall, reaching over the top of a box that is 1
meter on each side. The box is against the wall. What is the maximum height on the
wall that the ladder can reach? The side view is:

Assume the wall is perpendicular to the floor. Use your calculator to find the
maximum height to the nearest .01 meter.

Can you estimate the solution? Is there more than one solution? Why?

Help with equations?


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