The 47-year-old was waved off by his daughter, Dessa, as he ascended from an airstrip in Page in scenes reminiscent of the 2009 Disney Pixar film Up!
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Helium balloons lifted Blaine into the sky, while small weights were shed to take him higher.
He ascended to almost 25,000ft (7,620m) before releasing himself and then deploying a parachute.
“That was awesome!” he said as he landed back in the desert.