Question

The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in milimeters of mercury, is related to the heighth (in kilometers) above sea level by the formula p = 760 -0.145

(a) Find the height of an aircraft if the atmospheric pressure is 246 millimeters of mercury

Answer 1

`h = 3544.83km`

Explanation:

Given

`P= 760 - 0.145h`

Required

Find h when P = 246

Substitute 246 for P

`246= 760 - 0.145h`

Collect like terms

`246- 760 = - 0.145h`

`-514= - 0.145h`

Make h the subject

`h = (-514)/(-0.145)`

`h = 3544.83km`