Trigonometry (10th Edition)

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises: 21

Answer

The distance between Pittsburgh and Panama City is 3462.7 km

Work Step by Step

We can find the angle $\theta$: $\theta = 40^{\circ}-9^{\circ}$ $\theta = 31^{\circ}$ We can convert the angle $\theta$ to radians: $\theta = (31^{\circ})(\frac{\pi~rad}{180^{\circ}}) = 0.54105~radians$ We can find the distance $d$ between Pittsburgh and Panama City: $d = \theta~r$ $d = (0.54105~radians)(6400~km)$ $d = 3462.7~km$ The distance between Pittsburgh and Panama City is 3462.7 km
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