Question: How high is a mountain if instruments placed on its peak record a temperature of 5C and a barometric pressure of 500 millimeters of mercury?

How high is a mountain if instruments placed on its peak record a temperature of 5Â°C and a barometric pressure of 500 millimeters of mercury?

In problem, use the following result: If x is the atmospheric pressure (measured in millimeters of mercury), then the formula for the altitude h(x) (measured in meters above sea level) is

Po + 8000) log h(x) = (30T

where T is the temperature (in degrees Celsius) and P₀ is the atmospheric pressure at sea level, which is approximately 760 millimeters of mercury.

Po + 8000) log h(x) = (30T

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