You are sailing due south on the sea. You see two lighthouses and you are perpendicular to the first lighthouse. The second lighthouse is 10km due south form the first lighthouse (you find this distance from your chart). You then decide to measure a bearing from your current location to the second lighthouse and find it to be 2140. Sometime later you pass the second lighthouse and again you measure the bearing from your new location to the second lighthouse and it is now 2830.
Assuming you have travelled in a straight line, what distance have you travelled between the two measurements?
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