Could German coastal artillery shell the island?

Could German naval or coastal artillery reach a British Heligoland from the mainland?

Not comfortably in the First World War era: the island's roughly 46-kilometre separation exceeds the practical range cited for the relevant German guns.

The island is placed about 46 kilometres from the mainland at its closest point. The discussion gives roughly 21 kilometres as the range of the German 11-inch naval gun used on ships such as Seydlitz, Moltke, and Goeben. Even the later high-elevation figure of about 38.6 kilometres cited for a Second World War installation still falls short. The comparison rules out a comfortable First World War shore bombardment and leaves Germany facing the harder problem of approaching by sea under the fortress's defences.