Question

На вершине горы температура -2,5 град. Цельсия. У подножья +17. Определите высоту горы

Answer 1

240м, так как каждые 12 метров температура понижается на 1 грдус

Answer 2

Calculating the Height of the Mountain

To calculate the height of the mountain, we can use the lapse rate formula, which describes the decrease in temperature with an increase in altitude. The formula is:

Lapse Rate = (T2 - T1) / (H2 - H1)

Where: - T1 is the temperature at the base of the mountain - T2 is the temperature at the top of the mountain - H1 is the height of the base of the mountain - H2 is the height of the top of the mountain

Given: - T1 = 17°C - T2 = -2.5°C

Using the lapse rate formula, we can calculate the height of the mountain.

Lapse Rate = (-2.5 - 17) / (H2 - H1)

Let's solve for the height of the mountain using the given temperatures.

(-2.5 - 17) / (H2 - H1) = -19.5 / (H2 - H1)

Calculating the Height

Using the given temperatures, we can calculate the height of the mountain:

-19.5 / (H2 - H1) = -19.5

Solving for H2 - H1: H2 - H1 = 1

Therefore, the height of the mountain is 1 unit.

This calculation assumes a lapse rate of 1°C per 100 meters, which is a standard approximation for the lapse rate in the atmosphere.