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Distances in space are measured using the speed of light because light can travel through space and have very high speed.
A light-year is a measurement that is used by astronomers to measure distance in space. A beam of light travels in one year about a distance of six trillion miles which is a very long distance. In a vacuum, light travels at the speed of 670,616,629 miles per hour. The speed of light is very fast so that's why the scientists used the speed of light for measuring long distance in space.
So we can conclude that distances in space are measured using the speed of light because light can travel through space and have very high speed.
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