Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.2 - Vectors - 12.2 Exercises - Page 805: 30



Work Step by Step

Imagine a force vector $\boldsymbol{F}=\langle x,y\rangle$. We know $|\boldsymbol{F}|=50N$ and $\theta=38^\circ$ from the x axis. In order to find the components of $\boldsymbol{F}$ we apply trigonometry: $x=50\cos{38^\circ}=50\times0.788=39.4$ $y=50\sin{38^\circ}=50\times0.6157=30.785$
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