Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.5 Further Applications of Right Triangles - 2.5 Exercises - Page 82: 18

Answer

$x\approx 69.5 $ nautical miles

Work Step by Step

1. $d(AC) = 2.5 hr\times17 knots = 42.5$ nautical miles $d(AB) = 2.5 hr\times22 knots = 55$ nautical miles 2. By Pythagorus theorem $x^2 = 42.5^2 +55^2$ $x = \sqrt {42.5^2 +55^2} \approx 69.5$ nautical miles
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