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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?

    © BrainMass Inc. brainmass.com October 9, 2019, 11:01 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/geometry-finding-focus-parabolic-dish-241394

    Solution Preview

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

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

    Solution Summary

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

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