The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h (in kilometers) above the sea level by the formula... p=760e^(-.145h)
Question 1. Find the height of an aircraft if the atmospheric pressure is 247 millimeters of mercury.
Question 2....
2007-12-10 12:40:48 · 2 answers · asked by Dave & Sunny 2 in Science & Mathematics ➔ Mathematics
Question 2. Find the height of a mountain if the atmospheric pressure is 664 millimeters of mercury.
2007-12-10 12:49:44 · update #1
p = 760e^(-.145h)
247 = 760e^(-.145h)
247/760 = 0.325 = e^(-.145h)
ln 0.325 = -.145h
(ln 0.325)/(-.145) = h
h = 7.75 km
2007-12-10 12:47:13 · answer #1 · answered by Philo 7 · 0⤊ 0⤋
first plug 247 in for p so
247=760e^-.145h
divide by 760 on both sides
.325=e^-.145h
then using natural log rules
ln(.325)=-.145h
simplify
-1.1239=-.145h
divide by -.145 on both sides and you get the height
h=7.75124
2007-12-10 12:48:24 · answer #2 · answered by cardreader14 2 · 0⤊ 0⤋