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Geometry - Finding the Focus of a Parabolic Dish

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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?

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Solution Summary

This solution contains step-by-step calculations to determine how far the receiver should be placed from the base of the dish.

Solution Preview

Let the equation of the parabolic satellite dish be y^2 = 4ax

The new diamater of the dish is 6 ft. ...

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