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.
(a) Find the atmospheric pressure at sea level and at the top of Mount Everest, the tallest mountain in the world (29,035 feet*). [Remember that h is measured in thousands.]
(b) The atmospheric pressure at the top of Mount Rainier is 1223.43 pounds per square foot. How high is Mount Rainier?
*Based on measurements in 1999 by climbers sponsored by the Boston Museum of Science and the National Geographic Society, using satellite-based technology.
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