What is the height of the hill if the barometer at the foot showed 762mm and at the top 757mm?

First, you need to determine the pressure difference at the top and at the bottom of the hill.

We subtract 757 mm Hg from 762 mm Hg.

We get:

762 – 757 = 5 mm Hg

A standard change in the height of a pillar of mercury by 1 millimeter occurs with an increase in height of 10.5 meters.

In this case, the height of the top of the hill will be equal to:

5 * 10.5 = 52.5 meters.

Answer: The height of the top of the hill is 52.5 meters.