Air pressure p decreases exponentially with height h above


Question: Air pressure, P, decreases exponentially with height, h, above sea level. If P0 is the air pressure at sea level and h is in meters, then
P = P0e-0.00012h.

(a) At the top of Mount McKinley, height 6194 meters (about 20,320 feet), what is the air pressure, as a percent of the pressure at sea level?

(b) The maximum cruising altitude of an ordinary commercial jet is around 12,000 meters (about 39,000 feet). At that height, what is the air pressure, as a percent of the sea level value?

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Mathematics: Air pressure p decreases exponentially with height h above
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