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Posted by on Monday, November 21, 2011 at 1:29pm.

The barometric pressure in inches of mercury at a height of h feet above sea level is

p=30.0e^-kh

where k=3.83*10^-5. At what height will the pressure be 10.0 in. of mercury.

  • Algebra II - , Monday, November 21, 2011 at 2:57pm

    I assume h is the height, so

    30 e^(-kh) = 10
    e^(-kh) = 1/3

    - kh = ln (1/3)
    -kh = -1.098612...
    h = 1.098612/k = 28684.4

    check:
    30 ( e^(-.0000383(28684.4))
    = 30(.3333333) = 9.9999997 , not bad

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