Asatellite dish 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 has a diameter of 10 feet and a depth of 2 feet. how far from the base of the dish should the receiver be placed?

3.125 ft

Explanation:

If this dish has the form of a concave upward parabola and its vertex is at the origin, its corresponding equation is:

Where:

is the radius, which can be found by dividing the diameter by half. Hence

is the depth

is the vertex of the parabola, where its base is

Finding :

Finally:

This is where the the receiver should be placed

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