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Making the world better, one answer at a time. The distance from the Washington Monument to the White House is less than one mile. It would only take about six minutes to drive there. The distance from the Washington Monument to the White House is less than one mile. It would only take about six minutes to drive there.
Save this Post. 3. Re: hotel in walking distance to smithsonian. Jul 02, 2010, 8:19 AM. Most of the monuments, museums, and the Capitol Hill are spread out over a rectangular area of about 3 miles wide from East to West, and about 1 mile from North to South. So you have to pick which part you want to be close to.