AIR MATH

Math Question

The Cassini spacecraft is on a mission in orbit around Saturn until September 2017. Three of Saturn's moons, Tethys, Calypso, and Telesto, have nearly circular orbits of radius 295,000 kilometers. The diagram shows the positions of the moons and the spacecraft on one of Cassinis missions
Find the distance \( D B \) from Cassini to Tethys when \( \overline{A D} \) is tangent to the circular orbit. Round to the nearest kilometer
\[
D B \approx \square \mathrm{km}
\]

Solution

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