Ratio of Sun's diameter to Moon's

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To find the ratio of the Sun's diameter to the Moon's diameter during a total solar eclipse, the problem states that the distance from Earth to the Sun is 400 times the distance from Earth to the Moon. The approach involves using similar triangles, where the diameters of the Sun and Moon can be represented as the bases of two triangles formed by their respective distances from Earth. The challenge lies in understanding whether the given distances include the radii of the celestial bodies. Drawing the triangles helps visualize the relationship, and the known side lengths of the Moon's triangle can aid in solving for the Sun's diameter. The solution hinges on correctly applying the principles of similar triangles to derive the desired ratio.
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Homework Statement


During a total solar eclipse, your view of the Sun is almost exactly replaced by your view of the moon. Assuming that the distance from you to the sun is 400 times the distance from you to the moon, find the ratio of the Sun's diameter to the moon's diameter.


Homework Equations





The Attempt at a Solution


I started by drawing three circles: the Sun at the left of the moon at the left of the Earth. After this, I'm stuck. The problem never states whether the given distances from "you to the moon/sun" include the radius of the moon or sun. Even if it does, I have no idea how to proceed. I read the post about this exact problem (https://www.physicsforums.com/showthread.php?t=318386), but I didn't get how to use similar triangles.
 
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Try drawing two similar triangles, one with the moon's diamter as the base and one with the sun's - you know the length of the sides of the moon triangle
 

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