(Solved): Atmospheric pressure \( P \) in pounds per square inch is represented by the formula \( P=14.7 e^{- ...

Atmospheric pressure \( P \) in pounds per square inch is represented by the formula \( P=14.7 e^{-0.21 x} \), where \( x \) is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of \( 8.275 \) pounds per square inch? (Hint: there are 5,280 feet in a mile) The mountain is feet high. Show your work and explain, in your own words, how you arrived at your answer.