Final answer:
The air temperature at the top of the mountain is -12 degrees Celsius. Calculate the elevation based on the given information.
Step-by-step explanation:
The subject of this question is Physics. The question involves understanding the relationship between air temperature and elevation. Based on the given information that the air temperature decreases 6 degrees Celsius for every 1000m increase in elevation, we can calculate the elevation based on the temperature.
Given that the air temperature at the top of the mountain is -12 degrees Celsius, we can calculate the elevation using the formula:
Elevation (in meters) = (Temperature - Initial Temperature) / Temperature Change per 1000m
Elevation = (-12 - Initial Temperature) / -6
Simplifying the equation, we have:
Initial Temperature = -12 - (-6) * Elevation / 1000
Substituting the value of -12 degrees Celsius for the temperature and solving for the elevation, we get:
Elevation = (-12 - (-6)) * 1000 / 6
Therefore, the correct answer is 2000m.