8th Edition

ISBN: 9781337798310

Author: Peterson, John.

Publisher: Cengage Learning,

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Textbook Question

Chapter 50, Problem 13A

Express the following decimal degrees as degrees and minutes. When necessary, round the answer to the nearest whole minute.

117.70°

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Chapter 50, Problem 12A

Chapter 50, Problem 14A

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Use the Euclidean algorithm to find two sets of integers (a, b, c) such that 55a65b+143c: Solution = 1. By the Euclidean algorithm, we have: 143 = 2.65 + 13 and 65 = 5.13, so 13 = 143 – 2.65. - Also, 55 = 4.13+3, 13 = 4.3 + 1 and 3 = 3.1, so 1 = 13 — 4.3 = 13 — 4(55 – 4.13) = 17.13 – 4.55. Combining these, we have: 1 = 17(143 – 2.65) - 4.55 = −4.55 - 34.65 + 17.143, so we can take a = − −4, b = −34, c = 17. By carrying out the division algorithm in other ways, we obtain different solutions, such as 19.55 23.65 +7.143, so a = = 9, b -23, c = 7. = = how ? come [Note that 13.55 + 11.65 - 10.143 0, so we can obtain new solutions by adding multiples of this equation, or similar equations.]

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Express the following decimal degrees as degrees and minutes. When necessary, round the answer to the nearest whole minute. 117.70°

Solution Summary: The author explains how to convert the given angle into degree, minutes. The required angle is 117.70°.

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