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: 44

Answer

28.2 mi

Work Step by Step

Step 1. Use the figure given in the Exercise, the angle between the boat paths is $180-50-70=60^{\circ}$, the distance of boat1 traveled is $30mi$ and the distance of boat2 traveled is $26mi$ Step 2. Use the Law of Cosines, the distance between the two boats after 1h is $d^2=30^2+26^2-2\times30\times26cos60^{\circ}=796$ which gives $d\approx28.2mi$
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