SOLUTION: as dry air moves upward it expands, and in so doing it cools at a rate of about 5.5�F for each 1,000 foot rise up to about 40,000 feet. if the ground temperature is 70�F, then the

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Question 1041265: as dry air moves upward it expands, and in so doing it cools at a rate of about 5.5�F for each 1,000 foot rise up to about 40,000 feet. if the ground temperature is 70�F, then the temperature T at height h is given approximately by T= 70 - 0.0055h. for what range in altitude will the temperature be between 26�F and -40�F, inclusive?
Answer by stanbon(75887) (Show Source):
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as dry air moves upward it expands, and in so doing it cools at a rate of about 5.5�F for each 1,000 foot rise up to about 40,000 feet. if the ground temperature is 70�F, then the temperature T at height h is given approximately by T= 70 - 0.0055h. for what range in altitude will the temperature be between 26�F and -40�F, inclusive?
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-40 <= 70-0.0055h <= 26
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Subtract 70 along the line to get:
-110 <= 0.0055h <= -44
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Multiply thru by -1 to get:
44 <= 0.0055h <= 110
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Divide thru by 0.0055h to get:
8000 <= h <= 20,000
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Cheers,
Stan H.
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