Question 1182707
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Using the bridge midpoint as the origin, the cable being 15 feet above the bridge at the midpoint means the equation of the parabola is of the form<br>
{{{y=a(x-0)^2+15}}}<br>
To determine the coefficient a, use the fact that the top of one tower is 100 feet to the right and 40 feet above the origin:<br>
{{{40 = a(100-0)^2+15}}}<br>
I leave it to you to finish from there....<br>