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A

Anonymous

Jan 29, 2025

A radio telescope has a parabolic surface as shown below. If the telescope is 1 m deep and 12 m wide, how far is the focus from the vertex?

A radio telescope features a parabolic surface, as illustrated below. Given that the telescope is 1 meter deep and 12 meters wide, how far is the focus located from the vertex of the parabola?

1 Answers

A
Anonymous

Jan 09, 2025

The relationship is

y²=4ax

where a is the distance of focus from the vertex.

In your example

(x, y) = (1, 12/2), substituting which

36 = 4a(1),

a = 9.

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