What is the max potential height of a mountain if the last contour line is 2000 m and the map has a contour interval of 100m

The maximum height of the mountain can be 2099 meters.

Explanation:

The contour lines are closed lines that connect dots with the same elevation. They are a very practical and useful cartographic method for presenting the relief in a very plastic manner which is easy for the reader of the map. The contour lines though are set as a particular distance from each other, a vertical distance that is, known as contour interval, and it depends on the type of map and its size.

Everything between the contour interval is marked with a black dot and possibly a number representing its elevation. In a situation where the contour interval is 100 meters, the variation can be anywhere from 1 to 99 meters of a height between two contour lines. By having the last contour line with an elevation of 2000 meters, the maximum potential height can be 2099 meters (thus 99 meters plus), ss this is the maximum difference between two neighboring contour lines.