Explanation Given Information: The provided sides and angles are, A = 58.2 ° , a = 39.7 mi , c = 27.5 mi and figure is, Formula Used: According to law of Sines, a sin A = b sin B = c sin C According to angle sum property of triangle, A + B + C = 180 o Calculation: Consider the figure below, By the law of Sines, a sin A = b sin B = c sin C By using the above formula, 39.7 sin 58.2 o = b sin 64.3 o = 27.5 sinC Now, substitute the values of A = 58.2 o in the formula 27.5 sin C = 39.7 sin A as, 27.5 sin C = 39.7 sin 58.2 ° 1 sin C = 39.7 27.5 sin 58.2 ° sin C = 27

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ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 14.3, Problem 14E

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To calculate: The lengths of each side and each angle of the illustrated triangle where $A=58.2°,a=39.7 mi,c=27.5mi$ ,

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Chapter 14.3, Problem 13E

Chapter 14.3, Problem 15E

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Chapter 14 Solutions

Elementary Technical Mathematics

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The lengths of each side and each angle of the illustrated triangle where A = 58.2 ° , a = 39.7 mi , c = 27.5 mi ,

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To calculate: The lengths of each side and each angle of the illustrated triangle where $A=58.2°,a=39.7 mi,c=27.5mi$ ,

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Chapter 14 Solutions