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: 53

Answer

The angle of depression is $37.6^{\circ}$

Work Step by Step

We can use the height $h$ and the horizontal distance $d$ to find the angle of depression: $tan~\theta = \frac{h}{d}$ $\theta = tan^{-1}(\frac{h}{d})$ $\theta = tan^{-1}(\frac{39.82~ft}{51.74~ft})$ $\theta = 37.6^{\circ}$ The angle of depression is $37.6^{\circ}$
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