IIRC (as in, reciting from memory) the range to the target was measured with a trigonometric equation involving a right-angle triangle. starting with the periscope head at the bottom end, the known height of the ship as the vertical line, one must find the length of the hypotenuse to determine range (the horozontal line in a right-angle triangle)only knowing how tall the ship is.
I do not know the math involved, but thats the gist of it.
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