Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Review - Test - Page 532: 17

Answer

$θ\approx 78.58º$

Work Step by Step

All the data is given to find θ using the law of cosine: $9^2=8^2+6^2-2(8)(6)\cdot $cos$(θ)$ $81=64+36-96\cdot $cos$(θ)$ cos$(θ)=\frac{81-64-36}{-96}$ $θ=$cos$^{-1}(\frac{-19}{-96})\approx 78.58º$
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