Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - Test - Page 843: 9

Answer

$10$, $126.9^\circ$

Work Step by Step

Use the figure given in the exercise, we can identify the coordinates of the end point as $(-6,8)$, the magnitude of the vector can be found as $|\vec v|=\sqrt {(-6)^2+(8)^2}=10$. The angle $\theta=180^\circ-atan(\frac{8}{6})\approx126.9^\circ$
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