"...Besides, we find dinosaur bones in Alaska and Atarctica...."
Additionally, remember that climate and weather patterns are not constant. During the Mesozoic, the earth's climate was generally quite a bit warmer than it is now. Go to this link:
http://www.scotese.com/climate.htm
and explore maps of the climate of the Triassic, Jurassic, and Cretaceous for a good overview.
Feathers (each affixed to little muscles in the hide) which can be opened and closed (fluffed like modern birds do) answers that question.
Now, the big question ~ did they taste like chicken?
Undoubtedly due to human interference with the atmosphere prior to the Mesozoic...