Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises - Page 75: 48

Answer

583 ft

Work Step by Step

1. Given angle and adjacent side $\theta = 30^{\circ}$ and $$a = 1000ft$ 2. To find opposite side we use tangent $\tan 30^{\circ} =\frac{b}{1000} $ $b\approx 577 ft$ 3. Do not forget to add up the height of the observer 577+6 = 583 ft
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