Calculus Level 4

A ladder 5 meters long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of $$2 \text{ cm/s}$$ . How fast does it's height decrease, when the foot of the ladder is 4 meters away from the wall?

Express your answer in terms of $$\text{cm/s}$$ up to 3 decimal places.

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