Problem

The atmospheric pressure a (in pounds per square foot) at height h thousand feet above sea...

The atmospheric pressure a (in pounds per square foot) at height h thousand feet above sea level is approximately a = .8315h2 − 73.93h + 2116.1 (0 ≤ h ≤ 40).

(a) Find the atmospheric pressure (rounded to two decimal places) at the top of Mount Annapurna (26,504 feet).


(b) The atmospheric pressure at the top of Mount Rainier is 1238.41 pounds per square foot. How high (to the nearest foot) is Mount Rainier?

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