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A ladder 5 m long is leaning against ...

A ladder 5 m 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 cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall?

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To solve the problem step by step, we can follow these steps: ### Step 1: Understand the problem We have a ladder of length 5 m leaning against a wall. The bottom of the ladder is being pulled away from the wall at a rate of 2 cm/s. We need to find out how fast the height of the ladder on the wall is decreasing when the foot of the ladder is 4 m away from the wall. ### Step 2: Set up the variables Let: - \( x \) = distance from the wall to the bottom of the ladder (in meters) ...
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