A suspension bridge has a cable shaped like a parabola. The bridge is supported by two towers. The towers are meters apart. If the cable is meters high when it is meters from the center of the bridge, what is the height of one of the towers

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answer : 54 m

Step-by-step explanation:

Applying jet equation of Parabola

(x-h)^2 = 4p (y-k)  where (h,k) = 0

x^2 = 4py and this passes through ( 48, 24 )

(48)^2 = 4(p)(24)

hence P = 24

x^2 = 96h  at x = 72 and y(h) unknown

= 72^2 = 96(h)

h = 72^2 / 96 = 54 m

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