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13

Step-by-step Answer
PAGE: 153SET: ExercisesPROBLEM: 13
Please look in your text book for this problem Statement

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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