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a 17 foot tall ladder is leaning against a vertical wall and its base is on level ground. The top of the ladder slides down the wall so that the bottom of the ladder moves away from the base of the wall at a rate of 2 feet per second. at what rate is the top of the ladder sliding down the wall when it is 8 feet above the ground?

Question

a 17 foot tall ladder is leaning against a vertical wall and its base is on level ground. The top of the ladder slides down the wall so that the bottom of the ladder moves away from the base of the wall at a rate of 2 feet per second. at what rate is the top of the ladder sliding down the wall when it is 8 feet above the ground?

 

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Step 1

We have to find at what rate is the top of the ladder sliding down the wall when it is 8 feet above the ground?

Information is given below:

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Step 2

We will use following rules of derivative.

Rules are given below:

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Step 3

Firstly with the help of pythagorean theorem we will find r...

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Math

Calculus

Derivative

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