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

Answer:

$h = 3544.83km$

Step-by-step 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

$h = \frac{-514}{-0.145}$

$h = 3544.83km$