$\"\"$

\

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Bridge is in the shape of semi elliptical arch.

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The bridge has a span of $\"\"$ .

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Therefore, $\"\"$ .

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Maximum height of the bridge $\"\"$ .

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Standard form of ellipse is $\"\"$ .

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

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$\"\"$

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Find the height of the arch at distances of 10, 30 and 50 feet from the center.

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Consider $\"\"$ .

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Find the $\"\"$ coordinate at $\"\"$ .

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$\"\"$

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$\"\"$

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Find the $\"\"$ coordinate at $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Find the $\"\"$ coordinate at $\"\"$ .

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$\"\"$

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$\"\"$

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Heights of the arch at distances of 10, 30 and 50 feet from the center are $\"\"$ and $\"\"$ .

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$\"\"$

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Heights of the arch at distances of 10, 30 and 50 feet from the center are $\"\"$ and

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\"\"

.