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Latitude - Rocky Mountains

The lecture in the geography course is mentions the horizon as being the point where the sun is no longer visible. I live in Colorado Springs where the Sun is no longer visible as soon as it is covered by the mountains. So for calculating the latitude should I consider the bottom of the mountains the edge of the horizon.

Or do I not quite understand, horizon?

Imagine the horizon line that you would see if you lived in a completely flat, featureless place. The example of where the sun would set is kind of confusing, since that would be very different for other people at the same latitude.