A satellite dish, is the shape of a parabola. 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 has a diameter of 12 ft and a depth of 2 ft.
If the diameter of the dish is halved how far from the base of the dish should the receiver be placed?
Let the equation of the parabolic satellite dish be y^2 = 4ax
The new diamater of the dish is 6 ft. ...
This solution contains step-by-step calculations to determine how far the receiver should be placed from the base of the dish.