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 331: 94

Answer

$\langle -4.1042,11.2763 \rangle$

Work Step by Step

Horizontal component of $\textbf{u}=12\cos110^{\circ}$ Ensuring that the calculator is in degrees, we type $12\cos110$ into the calculator and solve: $12\cos110^{\circ}=-4.1042$ Vertical component of $\textbf{u}=12\sin110^{\circ}$ Ensuring that the calculator is in degrees, we type $12\sin110$ into the calculator and solve: $12\sin110^{\circ}=11.2763$ Therefore, $\textbf{u}=\langle -4.1042,11.2763 \rangle$
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