Question

Distance b/w two poles is
5m,
How
much distance 30
poles will covers​

Answer 1

The distance between 2 electric poles is 30m. The length of the electric cable between them is 32m. What function defines the shape of this cable?

In the scenario you are describing, the cable forms a Catenary Curve.The graph below shows the exact function to your question.

Catenary curves follow the basic formula of:

y=acoshxa

All we need to do is find a , using the following formula:

a=SbsinhXba

Where Sb is the length of cable from an end to the midpoint(16m) and Xb is the horizontal distance between an end to the midpoint(15m).

Solving for a , we get a≈23.95 .

Hence the function to your graph is y=23.95coshx23.95 .