Question 1183793
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The solution from the other tutor is a perfectly good formal solution by finding the equation of the parabola.<br>
There is no need to find the equation exactly; the answer can be obtained in moments informally.<br>
From the center of the bridge to each end is 400m; we want to find the height 300m from the center of the bridge.<br>
Since the cable is in the shape of a parabola with its vertex at the center of the bridge, the height of the cable 3/4 of the way from the center of the bridge to each tower is the height of the tower, multiplied by (3/4)^2.<br>
{{{180((3/4)^2) = 101.25}}}<br>
ANSWER: 101.25m<br>