Why do people say the moon falls towards the earth, while it moves further from earth over time?

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The moon also moves sideways in accelerating speed, thus making the distance between earth and the moon greater. Doesn’t it makes more sense that we would say that the moon falls out of orbit or falls from the earth? This question is keeping me busy for over 5 years. I really like to hear from scientists about this subject. Thanks in advance!

In: Physics