Trigonometry (11th Edition) Clone

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

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 20: 72a

Answer

1,830,000 miles is the maximum distance that Ganymede can be from Jupiter and still cause a total eclipse.

Work Step by Step

Let $D_J$ be the sun's distance from Jupiter and let $D_S$ be the sun's diameter. Let $d_J$ be Ganymede's distance from Jupiter and let $d_G$ be Ganymede's diameter. Using similar triangles, we can find the maximum distance that Ganymede can be from Jupiter and still cause a total eclipse: $\frac{D_S}{D_J} = \frac{d_G}{d_J}$ $d_J = \frac{d_G~D_J}{D_S}$ $d_J = \frac{(3270~mi)(484,000,000~mi)}{(865,000~mi)}$ $d_J = 1,830,000~mi$ 1,830,000 miles is the maximum distance that Ganymede can be from Jupiter and still cause a total eclipse.
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.