Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.1 Oblique Triangles and the Law of Sines - 7.1 Exercises - Page 299: 52

Answer

$Area = 372.7~m^2$

Work Step by Step

Let $b = 52.1~m$ Let $c = 21.3~m$ Let $A = 42.2^{\circ}$ We can find the area: $Area = \frac{1}{2}bc~sin~A$ $Area = \frac{1}{2}(52.1~m)(21.3~m)~sin~42.2^{\circ}$ $Area = 372.7~m^2$
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