#### Problem 33E

33. The top of a ladder slides down a vertical wall at a rate of $0.15 \mathrm{~m} / \mathrm{s}$. At the moment when the bottom of the ladder is $3 \mathrm{~m}$ from the wall, it slides away from the wall at a rate of $0.2 \mathrm{~m} / \mathrm{s}$. How long is the ladder?