Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 783: 76


The weight of the box is 97.1 pounds.

Work Step by Step

The angle of inclination of the ramp with the horizontal is $18{}^\circ $. On resolving the vector into its horizontal and vertical components, the horizontal component will get cancelled and we get $\begin{align} & \sin 18{}^\circ =\frac{30}{x} \\ & x\sin 18{}^\circ =30 \\ & x=\frac{30}{\sin 18{}^\circ } \\ & =97.1\text{ pounds} \end{align}$ So, the weight of the box is $97.1\text{ pounds}$.
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