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chapter 3.7 problem 38ladder 13 ft long rests against a vertical wall and is sliding down the wall at the rate 3ft/s at the instant the foot of ladder is 5ft from teh base of the wall.at this instant, how fast is the foot of the ladder moving away from the wall?

Question

chapter 3.7 problem 38

ladder 13 ft long rests against a vertical wall and is sliding down the wall at the rate 3ft/s at the instant the foot of ladder is 5ft from teh base of the wall.

at this instant, how fast is the foot of the ladder moving away from the wall?

check_circleAnswer
Step 1

We have to find rate of change of base of ladder (dx/dt) in given question

Information is given below:

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Step 2

Firstly we will apply pythagorean theorem to find relation between x and y .

Work is shown below:

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Step 3

Now differentiate ( eq-1)  both side to get rate of change .

We will use po...

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Math

Calculus

Derivative

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