The reason that skiers get sun burned in winter is because of the reflective properties of the snow. The snow absorbs very little of the suns rays and reflects them back. The intensity of the suns rays make it very easy for exposed skin to get burned.as well as ice skating ice's reflective properties as well can have rays reflect and burn skin.
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Due to the highly reflective snow, sunscreen is needed. When the sun hits the white surface, it is reflected back up.