It happened on the B6012 at Edensor this afternoon (August 25) at around 12:40am.
Firefighters from Matlock and Bakewell attended before cutting the driver free.
They were left in the care of the East Midlands Ambulance Service.
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A passenger had managed to get out before the emergency services arrived.
Derbyshire Police were also at the scene and are currently helping to clear the incident.