Answer
$41.8^\circ$
Work Step by Step
Use the formula $cos\theta=\frac{\vec u\cdot\vec v}{|\vec u||\vec v|}$, we have:
$cos\theta=\frac{(4)(1)+(3)(5)}{\sqrt {4^2+3^2}\sqrt {1^2+5^2}}\approx0.7452$, thus $\theta=acos(0.7452)\approx41.8^\circ$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 8 - Application of Trigonometry - Test - Page 843: 11
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