Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.1 - Law of Sines - 8.1 Exercise - Page 566: 41

Answer

194.7

Work Step by Step

Using the area formula: $\frac{1}{2}$b*c*sinA = $\frac{1}{2}$a*b*sinC = $\frac{1}{2}$a*c*sinB A = $103^{o}$ 15' b = 16 c = 28 There are 60 minutes in a degree so 15 minutes is .25 of a degree. Therefore, A can be rewritten as: A = $103.25^{o}$ Area = $\frac{1}{2}$16*28*sin(10325) = 194.7
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