Question

Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e^−0.21x, 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 8.163 pounds per square inch? Hint: There are 5280 feet in a mile.

Answer 1

P$=14.7e^{-0.21x}$

$8.163=14.7e^{-0.21x}$

$0.5553=e^{-0.21x}$

In $0.5553=-0.21x$

$x=2.8012$ miles

$=2.8012×5280$

$=14790ft$