Pre-Calculus, 9th edition
13

 PAGE: 153 SET: Exercises PROBLEM: 13

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.

Hence the poins are and .

The general form of equation is .

Substitute in .

Substitute in .

Substitute in .

Substitute in the equation

-

Substitute in the equation

.                         -

Substract equation from equation .

Therefore is

Substitute and in the equation .

Substitute above value in

Therefore the height of the parabola is  .

TSubstitue in the above equation

.

The height of the cable is .

The height of the cable is .

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