How close was Rodney when her shells disabled Bismarck's turrets?

At what range was Rodney firing when her sixteen-inch salvos disabled Bismarck's turrets?

Probably around seventeen thousand yards, though the exact track is debated. Rodney began near twenty-five thousand yards and closed to about three thousand after Bismarck's main battery was out.

The surviving track data does not provide one uncontested range for every hit. Rodney opened at roughly twenty-five thousand yards and continued closing throughout the action. By the period when individual Bismarck turrets were being picked off, the range had probably fallen below eighteen thousand yards, with estimates around sixteen to seventeen thousand. After the German main battery was disabled, Rodney approached to roughly three thousand yards. The mapped tracks become uncertain at points, so a precise single figure should not be treated as settled.