Question 896016
need help determining the width of a dish (satellite) if the depth is 2 feet and the focus is 5 inches from the vertex. Assuming that the vertex is at (0,0).
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Draw a parabola that opens up with vertex at the origin.
Its basic equation: x^2=4py
(x,2)=(x,y)coordinates of top right edge of dish
p=5/12 (distance from vertex to focus)
4p=5/3
using coordinates of top right edge of dish
equation: x^2=(5/3)2
x=√(10/3)
2x≈3.65
width of dish≈3.65 ft