Answer:
9 in approx
Step-by-step explanation:
Step one:
given data
the shape of the satellite dish takes the form of a paraboloid.
the diameter of the dish is 38in wide
and 10 inches deep.
step two:
The expression for the paraboloid is
[tex]4ay=x^2[/tex]
where y is the vertical axis of the paraboloid
a is vertex to focus.
and x is the radius of the dish
x= 38/2= 19in
substituting we have
[tex]4a10 =19^2\\\\40a=361 \\\\[/tex]
divide both sides by 40
[tex]a=361/40\\\\a=9.025[/tex]
vertex to focus= 9 in approx
