$\"\"$

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The equation of the hyperbola with center $\"\"$ is $\"\"$ .

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The diameter of the center is $\"\"$ .

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Hence $\"\"$ .

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The diameter of the base is $\"\"$ .

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The center is $\"\"$ above the ground.

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The points $\"\"$ and $\"\"$ is on the graph of the hyperbola.

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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At the top of the tower the diameter is $\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Therefore,the height of the tower is $\"\"$ .

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$\"\"$

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The height of the tower is $\"\"$ .