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Imagine the dot starts at the point (1,0), turns through 60 degrees anticlockwise and then stops.

I was wondering, if the point hadn't stopped, and instead carried on until it had turned through 30 000 degrees, might it have finished the same distance above the horizontal axis?

I took out my calculator and typed 30 000¸ 360

The answer on the screen was 83.333333

How can I use this to help me solve my problem?

There are ideas for follow-up problems in the Notes .