Altitude illness is usually preventable if ascent is slow. Persons traveling above 8,000 feet are most likely to be symptomatic. The chances increase to about 15% when sleeping above 8,000 feet. Being in excellent physical condition has no bearing on one's ability to acclimate to altitude.
Sleeping a night or two at a lower elevation will help the body's process of acclimatizing.
Revised November 29, 2011