How do I create a rope object that spans between the player and an object when you get close?

This is a bit of an odd one, and something I haven't started to explore but wanted to get people's opinions on the best method.

We basically have an object in the game, when the player gets close to the object it spits out a rope tether type thing and it stays attached until you move away from the object.

How would you do this rope tether so that it looks like it's following you as a heavy rope or a tesla coil would?

Many thanks!

I usually use a tiled background

Every tick:

1. Set the angle to the player

2. Set the height to the distance between the origin and the player