Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 330: 44

Answer

$\textbf{u}=\langle 4,4\sqrt 3 \rangle$

Work Step by Step

Step 1: $\textbf{u}=\langle 8\cos60^{\circ},8\sin60^{\circ} \rangle$ Step 2: $\textbf{u}=\langle 8(\frac{1}{2}),8(\frac{\sqrt 3}{2}) \rangle$ Step 3: $\textbf{u}=\langle \frac{8}{2},\frac{8\sqrt 3}{2} \rangle$ Step 4: $\textbf{u}=\langle 4,4\sqrt 3 \rangle$
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