Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.6 - The Law of Cosines - 6.6 Exercises - Page 522: 39

Answer

$AB\approx2.30$ mi

Work Step by Step

Using the law of cosines: $AB=\sqrt{2.82^2+3.56^2-2(2.82)(3.56)\cdot $cos$(40.3º)}$ $AB=\sqrt{7.9524+12.6736-20.0784\cdot 0.7627}$ $AB=\sqrt{20.626-15.3138}$ $AB=\sqrt{5.312}$ $AB\approx2.30$ mi
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