During a total solar eclipse, your view of the sun is almost exactly replaced by your view of the Moon..?


Question:
Assuming that the distance from you to the sun is about 400 times the distance from you to the Moon,
a)find the ratio of the sun's diameter to the Moon's diameter.
b) What is the ratio of the sun's volume to the moon's volume?
c)Position a small coin in your view so that it just eclipses the full moon, and measue the angle it subtends at the eye. From this and the Earth- Moon distance(= 3.8*10^5 km), find the moo's diameter.

Please explane your answer and not just show it , I would really like to learn how to do it just not have the answers. Thank you.

Answer:
Hi. The angle is about half a degree in all cases (coin, moon, sun). This sun actually IS about 400 times the moon's diameter and is also by happy circumstance about 400 times the distance. The word problem you have is a) 400 times the distance is 400 times the diameter, b) you have to calculate volume based on diameter (hint: it's not 400), and c) given the distance and the angle you can calculate the moon's diameter. You'll have to do this yourself. (Trig problem). If you get ambitious you can calculate the sun's volume with the info you have. Not bad for using a dime, eh?
Dude, that sounds really hard. I mean you must be in the Advanced Physics to be doing those calculations. I thought I was good at Physics but I think your question is really hard.

Good Luck
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