$\"\"$

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A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 meters apart.

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Hence the poins are $\"\"$ , $\"\"$ and $\"\"$ .

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The general form of equation is $\"\"$ .

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

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the equation $\"\"$

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$\"\"$ - $\"\"$

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Substitute $\"\"$ in the equation $\"\"$

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$\"\"$ . - $\"\"$

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$\"\"$

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Substract equation $\"\"$ from equation $\"\"$ .

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Therefore $\"\"$ is

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the equation $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute above value in $\"\"$

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$\"\"$

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Therefore the height of the parabola is $\"\"$ .

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TSubstitue $\"\"$ in the above equation

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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