algebra

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The atmospheric pressure P in pounds per square inch (psi) is given by
P = 14.7 e^−0.21 a
where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 12.17 psi, what is its altitude?

  • algebra -

    you are solving

    12.17 = 14.7 e^(-.21a)
    .827891156 = e^(-.21a)
    ln (.827891156) = -.21a lne
    -.21a = -.188873...
    a = appr .8994 miles or appr 4750 ft to the nearest ten feet.

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