Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 14 - Exercises and Problems - Page 264: 71


7.3 kilometers

Work Step by Step

We know that the angle between the plane and where the sound wave following it is: $\theta = sin^{-1}(\frac{1}{2.2})$ We see how far the sound wave is away: $d = 2.2 \times 19 \times 340 = 14,212m=14.21 \ km$ This allows us to find the altitude of the plane: $h = 14.21 \times tan( sin^{-1}(\frac{1}{2.2})) = 7.3 \ km$
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