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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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Turning a corner with a pole a. What is the length of the

Chapter 7, Problem 56E

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QUESTION:

a. What is the length of the longest pole that can be carried horizontally around a corner at which a 3-ft corridor and a 4-ft corridor meet at right angles?

b. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is a ft wide and a corridor that is b ft wide meet at right angles?

c. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is a = 5 ft wide and a corridor that is b = 5 ft wide meet at an angle of \(120^{\circ}\)?

d. What is the length of the longest pole that can be carried around a corner at which a corridor that is a ft wide and a corridor that is b ft wide meet at right angles, assuming there is an 8-ft ceiling and that you may tilt the pole at any angle?

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QUESTION:

a. What is the length of the longest pole that can be carried horizontally around a corner at which a 3-ft corridor and a 4-ft corridor meet at right angles?

b. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is a ft wide and a corridor that is b ft wide meet at right angles?

c. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is a = 5 ft wide and a corridor that is b = 5 ft wide meet at an angle of \(120^{\circ}\)?

d. What is the length of the longest pole that can be carried around a corner at which a corridor that is a ft wide and a corridor that is b ft wide meet at right angles, assuming there is an 8-ft ceiling and that you may tilt the pole at any angle?

ANSWER:

Solution 56E Step 1: (a)Consider a pole carried horizontally around a corner at which a 3-ft corridor and a 4-ft corridor meet at right angles. Consider the length of th e pole is l. So, at the corridor they meet at right angle. Consider the length is formed with one corridor is x and another corridor is y. So, you get

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