The logical explanation for this is that he fell but wasn't killed immediately from the fall.
While nearly every fall from over 100 feet (~30 meters) is fatal, that doesn't mean that it's instantly fatal. In fact, there are documented cases of people falling hundreds of feet and surviving. Here's an abstract about a woman who survived a 300 foot fall while rock climbing.
A more recent study on 287 vertical fall victims revealed that falls from height of 8 stories (i.e. around 90-100 feet) and higher, are associated with a 100% mortality. Thus, a vertical falling height of more than 100 feet is generally considered to constitute a "non-survivable" injury.
The present case report describes the rare survival of a 28-year old rock climber who survived a free fall from 300 feet onto a solid rock surface. This report emphasizes the crucial relevance of body positioning at the time of impact, and the importance of standardized institutional "damage control" management protocols for survival.
So, this two to three minutes of exposition time could be reasonably explained as being the time between his fall and his actual time of death.