Answer
$7524.67$ ft.
Work Step by Step
The elevation of change is: $11200-9000=2200$ ft.
If $x$ is the length of the trail, then according to the picture: $\sin{17^\circ}=\frac{2200}{x}$, thus $x=\frac{2200}{\sin{17^\circ}}\approx7524.67$ ft.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 8 - Applications of Trigonometric Functions - 8.1 Right Triangle Trigonometry; Applications - 8.1 Assess Your Understanding - Page 521: 62
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