Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 112: 43


The length of the train is approximately 200 m

Work Step by Step

We can express the angle in degrees: $\theta = 3^{\circ}20' = (3 + \frac{20}{60})^{\circ} = 3.33^{\circ}$ We can convert the angle to radians: $\theta = (3.33^{\circ})(\frac{\pi~rad}{180^{\circ}}) = 0.05812~rad$ We can approximate the length $L$ of the train: $L \approx \theta ~r$ $L \approx (0.05812~rad)(3.5~km)$ $L \approx 0.20~km$ $L \approx 200~m$ The length of the train is approximately 200 m.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.