Explanation Given Information: The provided triangle is drawn below for the refrigerant line which is to be bent in the shop and then taken to the job site from outside condensing unit to air handler. Formula used: According to the laws of cosines: c 2 = a 2 + b 2 − 2 a b cos C Where, a, b, c are the sides of a triangle ABC and C is angle opposite to the side c . According to the laws of sines: a sin A = b sin B = c sin C Where, a, b, c are the sides of a triangle ABC and A, B, C are angles opposite to the sides a, b, c respectively. Calculation: Consider the provided triangle, Now to calculate angle C , apply the law of cosines, c 2 = a 2 + b 2 − 2 a b cos C ( 48 ft ) 2 = ( 38 ft ) 2 + ( 29 ft ) 2 − 2 ( 38 ft ) ( 29 ft ) cos C ( 48 ft ) 2 − ( 38 ft ) 2 − ( 29 ft ) 2 = − 2 ( 38 ft ) ( 29 ft ) cos C ( 48 ft ) 2 − ( 38 ft ) 2 − ( 29 ft ) 2 − 2 ( 38 ft ) ( 29 ft ) = cos C Now further simplify, cos C = 0

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 14.5, Problem 22E

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To Calculate: The measures of the angles A, B and C for the provided triangle:

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Chapter 14.5, Problem 21E

Chapter 14.5, Problem 23E

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Chapter 14 Solutions

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The measures of the angles A, B and C for the provided triangle:

Solution Summary: The author calculates the angles A, B, and C for the provided triangle, based on the laws of cosines.

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To Calculate: The measures of the angles A, B and C for the provided triangle:

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Chapter 14 Solutions