Question

A 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder away from the wall at a rate of 0.3 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 8 ft from the wall? |

Step 1

The given data can be expressed in a right triangle as shown below.

Step 2

Apply the Pythagorean theorem as follows.

Step 3

It is given that, the rate at which the foot of the ladd...

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