the Chicago skyline 'shouldn't be visible' clip — I plotted it out, post mortem inside

This is the one that almost got me ngl. The clip: Chicago skyline fully visible from a beach in Michigan ~50-60 miles across Lake Michigan, FE caption says 'on a globe the whole city would be hidden by curve, therefore flat.' Saw it shot from around Warren Dunes. Decided to actually run the numbers ……