Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 442: 61

Answer

$443.2\text{ m}$ $323.3\text{ m}$

Work Step by Step

Let $x$ be the height from the ground to the 86th floor and $y$ the distance between you and your friend.. $\tan 82^\circ=\frac{x}{45}$ We determine $x$: $x=45\cdot 7.115\approx 320.2$ The height of the building is: $320.2+123=443.2\text{ m}$ We calculate the distance between you and your friend $\cos 82^\circ=\frac{45}{y}$ $y = \frac{45}{\cos 82^\circ}$ $y\approx 323.3\text{ m}$
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