Look at the satellite dish shown in Exercise 71. Why must the receiver for a shallow dish be farther from the base of the dish than for a deeper dish of the same diameter?

Data from Exercise 71

A satellite dish, like the one shown below, is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 12 feet and a depth of 2 feet. How far from the base of the dish should the receiver be placed?

Transcribed Image Text:

20 y -12 feet Roooivor (6,2) 2 feet X