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What mathematical equation would you use to explain why the Sun and Moon appear to be the same size?
Wiki User
∙ 8y ago
You need no mathematical equation for that. The Sun is about 400 times larger, in diameter, than the Moon. It also happens happens to be about 400 times farther away. These two things basically cancel one another.If you want an equation, you can write an equation to calculate the apparent diameter. For small angles, the angle (in radians) of a distant object is equal to the object's diameter divided by the distance.
Wiki User
∙ 8y ago
Wiki User
∙ 8y ago
Here you are. I made up an equation for you.
It works beautifully for small angles. The error is only
4% or less for any angle less than 20 degrees.
Apparent size (subtended angle) =
arctangent (diameter of the object / its distance from the observer)
Wiki User
∙ 8y agoThe equation that relates similar triangles. If Dm and Ds are the distances to the moon and the sun, and Rm and Rs are their radii, then Dm/Ds = Rm/Rs so that their apparent sizes are the same.
This will not last for long since the moon is retreating from the earth slowly.
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