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### Best Answer Lou Lohman says

If we assume the period of rotation for the Sun is 1 month, and the rotation of the Sun and revolution of the Earth are the same direction, then a full rotation observed from Earth would take approximately 1 month, 2 days, 17 hours, and 27 minutes.

Set it up as a line graph. In slope-intercept form, the Sun could be represented as "x - 1", and the Earth would be "0.08333x". This sets x up as the time, so you'd find the value of x at the intercept point of the two lines. Solving for x is a matter of saying:

x - 1 = 0.08333x

0.91667x = 1

x = 1.090909

I figured it'd be a fairly simple math equation, thanks!