A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a singlepoint, where the receiver is located. If the dish is 10

10 feet across at its opening and 2

2 feet deep at itscenter, at what position should the receiver beplaced?

The receiver should be placed feet from the base of thedish, along its axis of symmetry.

(an exact answer in simplifiedform.)