Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 19: 69b

Answer

It is not possible for Phobos to cause a total eclipse of the sun on Mars.

Work Step by Step

According to part (a), the moon Phobos can be a maximum distance of $~~2856.4~miles~~$ away from Mars in order for a total eclipse of the sun to occur on Mars. Since Phobos is approximately $~~5800~miles~~$ away from Mars, it is not possible for Phobos to cause a total eclipse of the sun on Mars.
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