Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 306: 42

Answer

$A = 1.12~R^2$

Work Step by Step

$A = [5~\frac{sin~A~sin~B}{sin~(A+B)}]~R^2$ $A = [5~\frac{sin~18^{\circ}~sin~36^{\circ}}{sin~(18^{\circ}+36^{\circ})}]~R^2$ $A = [5~\frac{(0.309017)(0.587785)}{(0.809017)}]~R^2$ $A = 1.12~R^2$
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