Solve Apps: Conic Sections in Polar Coordinates
-Halley's Comet Has $r = \frac { 10.75 } { 1 + 0.838 \sin \theta }$

Solve Apps: Conic Sections in Polar Coordinates
-Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by $r = \frac { 10.75 } { 1 + 0.838 \sin \theta }$ . In the formula, $r$ is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.)
Find the distance from Halley's comet to the sun at its shortest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.

A) $5.85$ astronomical units; 544 million miles
B) $66.36$ astronomical units; 6171 million miles
C) $12.83$ astronomical units; 1193 million miles
D) $6.41$ astronomical units; 597 million miles