Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Review Exercises - Page 345: 38

Answer

The magnitude of the resultant force is 209 N

Work Step by Step

Let $a = 142~N$ Let $b = 215~N$ Let angle $\theta = 112^{\circ}$ We can use the parallelogram rule to find $c$, the magnitude of the resultant force: $c = \sqrt{a^2+b^2+2ab~cos~\theta}$ $c = \sqrt{(142~N)^2+(215~N)^2+(2)(142~N)(215~N)~cos~112^{\circ}}$ $c = \sqrt{43515.5~N^2}$ $c = 209~N$ The magnitude of the resultant force is 209 N
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