Broadcasters use a parabolic microphone on football sidelines to pick up field audio for broadcasting purposes. A certain parabolic microphone has a reflector dish with a diameter of 14 inches and a depth of 4 inches. If the receiver of the microphone is located at the focus of the reflector dish, how far from the vertex should the receiver be positioned?

ANSWERS

2017-08-11 15:22:49

Given: diameter = 14 inches depth = 4 inches radius = 14 / 2 = 7 inches (x,y) → (7,4) y = 1/4c * x² 4 = 1/4c * 7² 4 * 4c = 49 16c = 49 c = 49/16 c = 3.0625 inches The receiver should be positioned 3.0625 inches from the vertex.

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