The human body requires a certain amount of oxygen. The air at 39,000 feet above sea level has this amount. Obviously there must be other factors that come in to play here.
I'll type out the paragraph:
The human body at rest requires a partial pressure of O2 of at least .040 atm to sustain life, so sea level pressure supplies us with more than enough oxygen (.21atm) to live. Is this true at, say, the top of Mt.Everest, 29000 feet (8900 meters), where the total air pressure equals .286 atms?
The P02 (P02= pressure of oxygen) of 0.079atm is still somewhat larger than the bare minimum needed to sustain life of .040 atm. Why do so many who trek to Mt.Everest take along breathing equipment? The figure of .040 atm assumes no additional demands for oxygen. The hiker is at rest. The oxygen demand when moving is higher, hence the need for supplemental oxygen. Some mountaineers and guides have made it up to Mt.Everest without breathing apparatus. The partial pressure of oxygen falls below .040 atm at an altitude above 12,000 meters (39,000 feet). This means that passengers in a jet might barely survive a depressurization as high as 39,000 feet, though the safety margin dictates the use of oxygen masks well below that altitude.
Chemistry- A world of choices
Paul Kelter
James Carr Andrew Scott
Pg367-368