Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.5 - Vectors: A Geometric Approach - 2.5 Problem Set - Page 107: 39

Answer

North 240.41 miles East 143.10 miles

Work Step by Step

Total displacement in North direction will be cos component(about bearing angle) of the two displacements $ = 170 \cos 18° + 120 \cos 49° = 161.68 + 78.73 = 240.41\ miles$ Total displacement in North direction will be $\sin$ component(about bearing angle) of the two displacements $ = 170 \sin 18° + 120 \sin 49° = 52.53 + 90.57 = 143.10\ miles$
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