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Mnenie [13.5K]
3 years ago
13

Air pressure may be represented as a function of height above the surface of

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

The height is 1343.13 meters.

Step-by-step explanation:

Air pressure may be represented as a function of height h in meters above the surface of Earth as shown below :

P(h) = P. e^{-0.000121h} ......... (1)

In this function, P is air pressure at sea level and h is measured in meters.

Let at a height of h meters the pressure is 85% of the sea level pressure.  

Hence, from equation (1), we get

0.85 = e^{- 0.000121 h}

Taking ln both sides, we can write

ln 0.85 = -0.000121 h (ln e) {Since \ln a^{b} = b \ln a}

⇒ h = 1343.13 meters (Answer)

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