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Question 480992: A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus. The reflector is 1 ft. deep and 20 ft. wide from rim to rim. How far is receiver from the vertex of the parabola reflector?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus. The reflector is 1 ft. deep and 20 ft. wide from rim to rim. How far is receiver from the vertex of the parabola reflector?
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With the satellite dish facing up, place the vertex at the origin, (0,0), and using the right edge of the rim as a point (10,1) on the parabola. This configuration will give the equation of a parabola,
x^2=4py, p=distance from vertex to focus.
10^2=4p(1)
4p=100
p=25
ans:
The receiver will be 25 ft above the vertex of the parabola reflector.
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