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Question
how does the tilt of the earth cause it to be colder during winter?
The Earth's axis is tilted. During winter in a hemisphere (e.g., Northern Hemisphere), that hemisphere is tilted away from the Sun. This leads to the Sun's rays hitting the region at a more oblique angle, spreading the same amount of solar energy over a larger area. Also, the sunlight has to pass through more of the Earth's atmosphere, reducing its intensity. Less solar energy reaching the surface means less heating, resulting in colder temperatures.
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During winter in a hemisphere, the hemisphere is tilted away from the Sun. Sun's rays hit at an oblique angle (spreading energy over a larger area), pass through more atmosphere (reducing intensity), so less heating occurs, causing colder temperatures.