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: 43

Answer

2179 mi

Work Step by Step

Step 1. Draw a diagram as shown. Note: distance = speed X time, and the angle $170^{\circ}$ is the supplement of $10^{\circ}$ given in the problem. Step 2. Use the Law of Cosines, the distance of end point to the starting point is $d^2=1250^2+937.5^2-2\times1250\times937.5\times cos170^{\circ}$ which gives $d\approx2179 mi$
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