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 76: 58

Answer

The distance from the assigned target would be 34.0 miles.

Work Step by Step

We can convert the angle of error to degrees: $\theta_e = 30'' = \frac{30}{3600}^{\circ} = \frac{1}{120}^{\circ}$ We can use the earth-moon distance $d$ to find the distance $x$ from the assigned target: $\frac{x}{d} = tan~\theta_e$ $x = (d)~tan~\theta_e$ $x = (234,000~mi)~tan~(\frac{1}{120})^{\circ}$ $x = 34.0~mi$ The distance from the assigned target would be 34.0 miles.
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.