Question

17. The cable of a suspension bridge is in the shape of a parabola as shown in the
figure Answer the following questions by using the concepts of polynomials​

Answer 1

question : A cable of a suspension bridge isin the form of a parabola whose span is 40mts. The road way is 5 mts below the lowest point of the cable. An extra support is provided across the cable 30 mts above the fround level. Find the length of the support if the height of the pillars are 55 mts.

answer:

To write, x 6^2  =4ay

Since, the span of the parabola is 40 mt.  

So, x−co−ordinate of A=20

The height of the pillars are 55 meters=AB

So the co-ordinates of point A=(20,50)

Let the support be PQ

So, equation of the parabola gets reduced to

x^2  =8yIdentifying the point Q(x^1  ,25)

x^1  10   $\sqrt{2}$  

PQ=2x^1   =20  $\sqrt{2mts}$

​