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: 35

Answer

$ 97\ km\ south$ $87\ km\ East$

Work Step by Step

From figure, Ship travelled $ \vec d = 130\ S\ 42°\ E$ In south direction he travelled (Horizontal component of displacement vector) $d\ cos 42° = 96. 1 km \approx 97\ km$ In East direction he travelled (vertical component of displacement vector) $d\ sin 42° = 86.99 km \approx 87\ km$
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