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Derivative applications challenge

A 13 m13\text{ m} ladder is leaning against a wall when its base begins to slide away from the wall. By the time the base is 12 m12\text{ m} from the wall, it is moving at a rate of 5 m/s5\text{ m/s} (meters per second).
At that moment, what is the vertical velocity of the top of the ladder?
Your answer should be negative since the top of the ladder is falling.
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
m/s\text{m/s}