Question

A cable of length 80m is hanging between 2poles of height 50m the midpoint of cable is 10m above the ground calculate is the distance between the poles?

Answer 1

Check it in reference books or ask your maths teacher in school or your tuition teacher.or else see it in google

Answer 2

Answer: The distance between the poles is 46 m.

Given data states the height of the two tower as 50 m and the cable length to be 80 m. the mid point of cable is 10 m above the ground denoted as h.

Let the height be y and the distance from the mid point to either tower be x. therefore by catenary equation, we get,

                              $y = h cos (x / h) \\=> 50 = 10 cos (x /10) \\Therefore\quad 5 = cos x / 10.$

By the tabulated value from the hyperbolic cosine function, we get the value of

                              $Cos^{-1} (5) = x /10 \\=> 2.3 = x / 10 \\=> x = 23.$

Therefore the distance between the poles be 2x = 2 x 23 = 46 m.