$\"\"$

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Consider the vertex of the parabola is $\"\"$ .

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The parabola is along with $\"\"$ -axis and opens up.

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The standard form of vertical parabola is $\"\"$ .

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$\"\"$ is the distance between vertex to focus.

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The search light located $\"\"$ from the base.

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Therefore, $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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The depth of the search light is $\"\"$ .

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The point $\"\"$ is on the parabola.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The width of the opening is $\"\"$ .

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$\"\"$

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The width of the opening is $\"\"$ .