"All parachutes need plenty of height to deploy: very few people have survived a bail-out under 2000 ft."
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Height, or forward speed can also deploy them. 1000 feet is more than enough height as any base jumper will tell you.
The parachute recovery system on the Cirrus SR22 aircraft (which descends the entire plane and occupants) is officially set at 400 feet. But can be done lower, BRS parachutes 260 feet and some have been used successfully as low as 100 feet.