Answer:
The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.
Step-by-step explanation:
The equation of the parabola is:
Compute the first order derivative of <em>y</em> as follows:
Now, it is provided that |<em>x </em>| ≤ 605.
⇒ -605 ≤ <em>x</em> ≤ 605
Compute the arc length as follows:
Now, let
Plug in the solved integrals in Arc Length and solve as follows:
Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.