Explanation Given: Calculation: L = A B + B C + C D + E F + F G + G H + H I + ... Consider the right angle triangle A C B , cos ( π 4 ) = B C A B 1 2 = B C 1 ( since A B = 1 ) B C = 1 2 Consider the right angle triangle C E D , sin ( π 4 ) = C D B C 1 2 = C D 1 2 C D = 1 2 Consider the right angle triangle B D C , cos ( π 4 ) = E D C D 1 2 = E D 1 2 E D = 1 2 2 Consider the right angle triangle E F D , sin ( π 4 ) = E F E D 1 2 = E F 1 2 2 E F = 1 4 Consider the right angle triangle E G F , cos ( π 4 ) = G F E F 1 2 = G F

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 11.2, Problem 53E

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We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of $\frac{π}{4}$

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Chapter 11.2, Problem 52E

Chapter 11.2, Problem 54E

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Chapter 11 Solutions

Calculus - Standalone book

Ch. 11.1 - Prob. 1PQ Ch. 11.1 - Prob. 2PQ Ch. 11.1 - Prob. 3PQ Ch. 11.1 - Prob. 4PQ Ch. 11.1 - Prob. 5PQ Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E

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We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of π 4

Solution Summary: The author explains how to determine the total length of the infinite zigzag path in the given Figure.

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We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of $\frac{π}{4}$

Want to see the full answer?

Chapter 11 Solutions

We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of π 4

Solution Summary: The author explains how to determine the total length of the infinite zigzag path in the given Figure.

Videos

We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of π4

Want to see the full answer?

Chapter 11 Solutions

We need to determine the total length of the infinite zigzag path in the given Figure, where each zigzag occurs at the angle of $\frac{π}{4}$