Chapter 2.8, Problem 32E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

How fast is the angle between the ladder and the ground changing in Example 2 when the bottom of the ladder is 6 ft from the wall?

To determine

**To find:**

The rate at which the angle between ladder and ground is changing.

Explanation

**1. Formula:**

i. Definition of cosine:

ii. Differentiation of cosine:

iii. Chain rule of differentiation:

iv.

**2. Given:**

i. Length of ladder = 10 ft.

ii.

**3. Calculations:**

From the definition of cosine,

Differentiate it with respect to t

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