mathematical problem

Every time the altitude rises 100 meters, the temperature drops by 0.6 degrees Celsius.

Therefore, increasing 100m by x times will result in a decrease of 0.6x degrees.

At the foot of the mountain is 34 degrees, assuming that the altitude at this time is 0.

Then the temperature t = 34-0.6x

The peak value is T=32.2.

So 32.2 = 34-0.6x

0.6x= 1.8

x=3

So the height = 100x = 300m.