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15y ago

The distance between Venus and our moon is essentially the same as the distance between Venus and earth. The reason is that the moon and earth are relatively close, and in addition, as the moon circles the earth, half of the month it is a tiny bit closer to Venus, and rest of it the moon is just a tiny bit further. On average the Venus/Moon distance is about the same as the Venus/Earth distance. [It is more than a coincidence the words "month" and "moon" are so similar.]

Both Earth and Venus orbit the sun, of course. This means sometimes Earth and Venus are on the same side of the sun, and the distance between them is minimized. At other times Earth and Venus are on opposite sides of the sun, and the distance is maximized.

Since Venus is .72 AU (one Astronomical Unit equals the average distance between the earth and sun), the distance between Earth and Venus thus varies between 1-0.72 and 1+0.72, or 0.28 and 1.72 AU. You could just take the mean to find the "average" distance between Earth and Venus, but that would probably be not quite as accurate as to assume that Venus and Earth are more often roughly 90° apart, so that a better approximation would be to use the Pythagorean Theorem to calculate the average distance. You could derive an even better approximate average distance using concepts from calculus.

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Q: How far is the planet Venus's from the moon?
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