# At the top of the mountain, atmospheric pressure is 636 mm Hg, and near its foot, at an altitude of 500 m above sea level

At the top of the mountain, atmospheric pressure is 636 mm Hg, and near its foot, at an altitude of 500 m above sea level, 710 mm Hg. Determine the absolute height of the mountain

It is known that for every 10.5 meters, atmospheric pressure decreases by 1 mm Hg.

We find the difference in atmospheric pressure at the foot of the mountain and at its top.

To do this, we subtract the pressure at the foot from the pressure at an altitude of 500 meters.

We get:

710 – 636 = 74 mm Hg

Find the height of the top in relation to the foot.

Multiply the pressure difference by a constant value.

74 * 10.5 = 777 meters.

Since the foot of the mountain is located at an altitude of 500 meters, the absolute value of the height of the peak will be:

500 + 777 = 1277 meters.

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