Answer: 6.125 ft
Explanation:
If this dish has the form of a concave upward parabola and its vertex [tex]p[/tex] is at the origin, its corresponding equation is:
[tex]x^{2}=4py[/tex]
Where:
[tex]x[/tex] is the radius, which can be found by dividing the diameter [tex]d=14 ft[/tex] by half. Hence [tex]x=\frac{d}{2}=\frac{14 ft}{2}=7 ft[/tex]
[tex]y=2 ft[/tex] is the depth
[tex]p[/tex] is the vertex of the parabola, where its base is
Finding [tex]p[/tex]:
[tex]p=\frac{x^{2}}{4y}[/tex]
[tex]p=\frac{(7 ft)^{2}}{4(2 ft)}[/tex]
Finally:
[tex]p=6.125 ft[/tex] This is where the the receiver should be placed
