Precalculus (6th Edition)

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

Chapter 8 - Application of Trigonometry - 8.4 Algebraically Defined Vectors and the Dot Product - 8.4 Exercises - Page 789: 17

Answer

$154.96$ and $-123.26$

Work Step by Step

Let $v$ is a vector that has a magnitude $|v|$ and the direction angle of $\theta$. The magnitude of horizontal component is given by: $v_x=|v| \cos \theta= 198 \cos 128.5^{\circ}=-123.26$ And The magnitude of vertical component is given by: $v_y=|v| \sin \theta=198 \sin 128.5^{\circ}=154.96$
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