Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.6 - Vectors: The Dot Product - 7.6 Problem Set - Page 411: 27

Answer

$111.3^\circ$.

Work Step by Step

From what we learned: $\cos\theta=\frac{U\cdot V}{|U||V|}=\frac{13\cdot2+(-8)\cdot11}{\sqrt{13^2+(-8)^2}\sqrt{2^2+11^2}}=\frac{-62}{\sqrt{235}\cdot\sqrt{125}}=\frac{-62}{\sqrt{29375}}$ Thus $\theta=\cos^{-1}\frac{-62}{\sqrt{29375}}\approx111.3^\circ$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.