They did'nt spot you... great.
Rough seas and heavy fog will make detecting you very hard, your conning tower is a tiny object compared to a ship. If it's early war, ie pre Radar then this sounds quite feasible to me.
As to what a real uboat kaptain would do? Who knows, I should imagine that varies from kaptain to Kaptain and day to day.
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Sir Humphey Appleby, GCB, KBE, MVO and MA. Britain's Greatest Orator, well bar that Churchill fellow.
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