Topographic prominence is a fancy way of talking about how tall a mountain is compared to all the other mountains around it. Think of it like being the tallest kid in your class, but also being in a really tall classroom with other classes around you.
Let's imagine you're standing at the bottom of a mountain. You look up and see the peak way up in the sky. That's the highest point of the mountain. But what if there's another mountain nearby? How much higher is the first mountain compared to the second mountain?
This is where topographic prominence comes in. It's a way of figuring out how much higher a mountain is compared to all the other mountains surrounding it. Prominence is basically the difference between the mountain's highest point and the lowest point of land that separates it from other mountains.
If two mountains have the same height, but one has a higher prominence, that means it's more important in terms of the mountain range it belongs to. A mountain with high prominence is like a boss in the mountain world!
So, topographic prominence is just a way of measuring how important and special a mountain is because of its height relative to the other mountains nearby.