Satellite Dish A reflector for a satellite dish is parabolic in cross section, with the receiverat the focus . The reflector is deep and wide from rim to rim (see the figure). How far is the receiver from the vertex of the parabolic reflector?
The distance between the receiver and vertex of parabolic reflector.
A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus is shown in figure (1).
The depth of reflector is 1 ft. and has width of 20 ft. from rim to rim.
The general equation of a parabola with vertical axis where vertex and focus at is given by,
Where is the directrix.
1) If , then parabola opens downward.
2)If , then parabola opens upward.
Width of a parabola is given by .
Since, given parabola is drawn with vertical axis, the general equation will be given as,
As the parabola opens upward,
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