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# Anyone for a maths problem... watch

1. Would anyone like to attempt this problem, or offer guidance on how to solve it??

Imagine you are on a jetty, and you are pulling in a boat that is floating out on the water quite a long way away. The rope is tied to the boat and comes in and over the jetty and then lies flat along the jetty as you pull it in. As you pull in 10 metres of rope, the boat clearly moves in too, but does it move exactly 10 metres, more than 10 metres or less than 10 metres ? Explain.

I'm pretty sure that it has something to do with the triange formed between the boat and the jetty with the rope being the hypotenuse, but the problem is that the angle between the rope and the boat is always changing as the boat gets closer.

Any ideas??
2. I remember tackling this problem, oh quite a while ago now. Unfortunately I can't remember how I dealt with it then. Anyway I did some scratching around with some ideas and came up with the following.
Since I'm not sure how accurate my method is, you should take this offering with a pinch of salt

Hope this helps!
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