Pre-Calculus, 9th edition
The distance from vertex to focus is and depth is .
Set the vertex of the parabola is at and it opens up.
The general form of the parabola is , where is distance from vertex to focus.
Thus the value of and the points on the parabola are and .
Substitute and in .
Where is the diameter of the headlight.
Therefore, the diameter of the headlight is .
The diameter of the headlight is .
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