The atmospheric pressure (P) in pounds per square inch (psi) is approximated by [P=14.7 e^{-0.21 a}] where

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The atmospheric pressure \(P\) in pounds per square inch (psi) is approximated by

\[P=14.7 e^{-0.21 a}\]

where \(a\) is the altitude above sea level in miles. If the pressure gauge in a small plane shows 10.2 psi, estimate the plane's altitude in feet. (Recall that \(1 \mathrm{mi}=5,280 \mathrm{ft}\).)

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