Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.3 - Vectors in the Plane - 8.3 Exercises - Page 588: 105a


$\sqrt {125+100 \cos \theta}$

Work Step by Step

We have: $F_1=10 \cos \theta$ and $F_2=5 \cos \theta+5 \sin \theta$ Now, $||F_1+F_2|| =\sqrt {(10 \cos \theta)^2+(5 \cos \theta+5 \sin \theta)^2}$ or, $=\sqrt {100 +100 \cos \theta+ 25 (\sin^2 \theta+\cos^2 \theta)}$ or, $=\sqrt {125+100 \cos \theta}$
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