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How did sailing ships trail other ships without being spotted?
In the movie Master and Commander, the Surprise is seen trailing after the antagonist ship Acheron, and given the size of the latter ship in the horizon it seems almost certain that the Acheron would have also spotted the Surprise and would have taken precautions like speeding away or turning to engage, yet for a considerable amount of the movie the Acheron is oblivious to the pursuing ship.
Assuming this is close to realistic, how is that possible?