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: 42

Answer

882.2

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 B = $54^{o}$ 30' a = 62 c = 35 There are 60 minutes in a degree so 30 minutes is .5 of a degree. Therefore, A can be rewritten as: A = $54.5^{o}$ Area = $\frac{1}{2}$62*35*sin(54.5) = 882.2
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