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EXAMPLE 4

Tethys, Calypso, and Telesto are three of Saturn’s moons. Each has a nearly circular orbit 295,000 kilometers in radius. The Cassini-Huygens spacecraft entered Saturn’s orbit in July 2004 . Telesto is on a point of tangency. Find the distance DB from Cassini to Tethys. EXAMPLE 4.

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EXAMPLE 4

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  1. Tethys, Calypso, and Telesto are three of Saturn’s moons. Each has a nearly circular orbit 295,000 kilometers in radius. The Cassini-Huygens spacecraft entered Saturn’s orbit in July 2004. Telesto is on a point of tangency. Find the distance DB from Cassini to Tethys. EXAMPLE 4 Solve a real-world problem SCIENCE

  2. DC DB = AD2 83,000 DB 203,0002 DB 496,494 ANSWER Cassini is about 496,494 kilometers from Tethys. EXAMPLE 4 Solve a real-world problem SOLUTION Use Theorem 10.16. Substitute. Solve for DB.

  3. ANSWER Since the distances given are not exact, it is appropriate to use the approximation symbol in the solution. for Examples 4 GUIDED PRACTICE 11. Why is it appropriate to use the approximation symbol in the last two steps of the solution to Example 4?

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