Answer
39 ft
Work Step by Step
$\sin\theta=\frac{opposite\,side}{hypotenuse}$
That is, $\sin 33^{\circ}=\frac{21\,ft}{length\,of\,the\,escalator}$
Or length of the escalator=$ \frac{21\,ft}{\sin 33^{\circ}}=39\,ft$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 2 - Section 2.4 - Applications - 2.4 Problem Set - Page 92: 17
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