HOW DID THEY DO THAT?

And, the answer is:  During the space shuttle Endeavour's last trip to the International Space Station recently a supply ship departed the station with astronauts that captured this rare view.

That is the Endeavour hanging vertically on the left side of the space station.  The long, rectangular arms spreading from the space station are the solar panels that capture sun light to power the station.  You can see the curvature of the Earth below, with broken cloud cover over an ocean.

The supply ship was a Russian Soyuz spacecraft which landed in Kazakstan later that day.
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Photo courtesy NASA's Astronomy Picture of the Day with a tip of our hat to cousin Bill Nolan for bringing this marvelous image to our attention.