   Chapter 3.9, Problem 15E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) What quantities are given in the problem?(b) What is the unknown?(c) Draw a picture of the situation for any time 1.(d) Write an equation that relates the quantities.(e) Finish solving the problem.A street light is mounted at the top of a 15-ft-tall pole. A man 6ft tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 n from the pole?

(a)

To determine

To find: The quantities in the given problem.

Explanation

Given:

Given: a man 6 ft tall walks away from street light mounted on a 15-ft-tall pole at a rate of 5ft/s. If we let t be time (in

(b)

To determine

To find: The unknown.

(c)

To determine

To draw: The picture of the position of the man and his shadow from the pole.

(d)

To determine

To write: The equation that relates the quantities.

(e)

To determine

To find: How fast is the tip of his shadow moving when he is 40 ft from the pole.

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 