Why Do Shadows Change Length?

Answer

Shadows change length because of the sun changing dramatically throughout the day. The length of a shadow cast on the ground is proportional to the cotangent of the sun's elevation angle. The angle of the sun is θ relative to the horizon.
Q&A Related to "Why Do Shadows Change Length"
Shadow lenghts change throughout the year because in the winter (the shadows are longer) the sun is closer to Earth. In the Summer (shorter shadows) the shadows are shorter because
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Because the Moon rotates just like the Earth rotates. The Sun moves across the Moon's sky just like the Sun rotates across the Earth's sky, except it takes two weeks to move across
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