Interesting that so few people got the Washington Monument one right, though it doesn't always appear on lists of tallest things in history as it's not a proper building. The tallest man-made structure in history for thousands of years was the Great Pyramid of Giza. Then from 1311 it was various European cathedrals. The Washington Monument was the first thing to surpass all of those, in 1888, and it did so by a pretty big margin. It held the record for only ten years, however, as the Eiffel Tower took it in 1889 almost doubling the height of the obelisk. The in the 1930s we started building skyscrapers.
Not incidentally the Golden Gate Bridge and Statue of Liberty are both shorter than the Washington Monument. The Gateway Arch, though taller than the Washington Monument, was completed after the Eiffel Tower and is shorter than the Eiffel Tower so it never held the record.
Should ask "In what state..."