Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 3 - Vectors - Problems - Page 59: 49b

Answer

The direction is $61^{\circ}$ clockwise from the east direction

Work Step by Step

To get the angle we find the direction between by getting the tan $\theta$ of the $opp$ (north) and $adj$ (east) sides. $tan$ $\theta$ = $\frac{opp}{adj}$ $tan$ $\theta$ = $\frac{90}{50}$ $\theta = tan^{-1} (\frac{90}{50}) = 60.94^{\circ} \approx 61^{\circ}$ The direction is $61^{\circ}$ clockwise from the east direction
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