Chapter 11.4, Problem 33E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Ladder safety** A 30-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 1 ft/sec, at what rate is the top of the ladder sliding down the wall when the bottom is 18 ft from the wall?

To determine

**To calculate:** The rate at which the top of the ladder is sliding down the wall when the bottom is

Explanation

**Given Information:**

A

**Formula used:**

According to the Pythagoras theorem,

Where,

**Calculation:**

As it is provided that a

Thus, this arrangement can be considered as a right angled triangle with the length of the ladder be the hypotenuse of the triangle and the height of the wall be the height of triangle.

Now,

Differentiate the above equation with respect to

Now, the rate at which the top of the ladder is sliding down the wall when the bottom is

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