Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 562: 67


$191.77$ feet

Work Step by Step

The trigonometric ratios are as follows: $ \sin \theta =\dfrac{opposite}{hypotenuse} $ $ \implies hypotenuse ( h) =\dfrac{opposite}{\sin \theta} $ $ \implies hypotenuse ( h) =\dfrac{30}{\sin 9^{\circ}}$ $ \implies hypotenuse ( h) =\dfrac{30}{0.156}=191.77$ feet Therefore, the required distance $550$ people had to move to raise the stone to a height of 30 feet is equal to $191.77$ feet
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