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You could further refine this experiment by repeating it when there's a strong enough full moon for the sticks to cast a shadow.
Once you have you results, you have a value which is either a) the earth radius, or b) the earth-moon distance. Now compare them to your earth-sun results. Are they the same? They will be if you did the experiment properly. So, now we know either a) we measure the earth's radius, or b) the moon and sun are the same distance away.
Now, wait for a total solar eclipse, and note the sun and moon do not collide.
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