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

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

11th Edition

ISBN: 9781285199276

Author: Dale Ewen

Publisher: Cengage Learning

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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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

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

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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