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The sun is very far away, it takes light form the Sun 8 minutes to reach the Earth. At this scale the difference in height between the top of a mountain and the beach is insignificant, both places receive the same amount of light/heat form the Sun.

What makes the mountain top cold is vertical variation in temperature caused by the earths atmosphere. As you go up form sea level, the air cools by about one degree Centigrade for every 300 feet you go up. Thus as you are surrounded by colder air, it is colder on the top of a mountain - (or looking at it another way, the mountain pokes up into a region of colder air).

Look at the link I will place below for more information on air temperature.

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16y ago

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