Air pressure may be represented as a function of height above the surface ofthe Earth as shown below.P(h) = P.e-.000121In this function, Pois air pressure at sea level, and his measured in meters.Which of the following equations will find the height at which air pressure is85% of the air pressure at sea level?

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 : [tex]P(h) = P. e^{-0.000121h}[/tex] ......... (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 [tex]0.85 = e^{- 0.000121 h}[/tex] Taking ln both sides, we can write ln 0.85 = -0.000121 h (ln e) {Since [tex]\ln a^{b} = b \ln a[/tex]} ⇒ h = 1343.13 meters (Answer)