*Calculated curvature can't be proven when compared to actual line-of-sight (because the Earth is FLAT). Lighthouses have been a real-world solution for millenia for sea navigation during storm weather. See if you can make the math work at the discussion at this website (spoiler alert — you can't): The Range of Lighthouses at Sea: Understanding and Calculating Distances. Take note of inconsistencies (e.g., in the line-of-sight diagram of ship to lighthouse, the lighthouse is vertical instead of tangential to the curvature of the earth) and deflections (e.g., weather conditions, nautical miles vs. statute miles, and "categories" of lighthouses).
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