## Trigonometry (11th Edition) Clone

Published by Pearson

# 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.

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