Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Test - Page 92: 17

Answer

8828 ft

Work Step by Step

Draw a sketch (see below). Observe the right triangle. So, $\theta=26^{\circ}$ $\displaystyle \tan 26^{o}=\frac{a}{b},\quad$ solve for a: a$=14.000\cdot\tan 26^{o}\approx$6828.25623992 $\approx$ 6828 ft above the cabin, which is at 2000 ft . In total, the altitude is 6828+2000 = 8828 ft .
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