The great-circle (air) distance between Washington, D.C. (USA) and Cape Town (South Africa) is approximately 7,800 miles (12,550 kilometers).
There are no direct flights; typical routings connect via Atlanta, New York (JFK), or European hubs (London, Frankfurt, Amsterdam, Doha, Dubai), with total travel time 20–26+ hours including layovers.
Cape Town is in the Southern Hemisphere (latitude ~34°S), while D.C. is at ~39°N—nearly opposite sides of the globe longitudinally (~140° difference), maximizing distance.