$\"\"$

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The tower supporting the cables are $\"\"$ apart and $\"\"$ high.

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Set the vertex of the parabola is at $\"\"$ and it opens up.

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The general form of the parabola is $\"\"$ , where $\"\"$ is distance from vertex to focus.

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

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

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$\"\"$

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

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The equation of the parabola is $\"\"$ .

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$\"\"$

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The height of the cable is $\"\"$ from the center.

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

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore, the height of the cable $\"\"$ from the center is $\"\"$ .

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$\"\"$

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The height of the cable $\"\"$ from the center is $\"\"$ .