In regard of this matter of the oddness of the coincidence of the Sun and the Moons visual image size being the same, its interesting to realise that Moon has two of the letter o in it.
Also Arthur C. Clarks classic film 2001, with its emphasis of the alien devices left on the Moon for Man to find, the title has two of the number 0 in it.
A more general coincidence is that the ratio of the size of the end of the little finger to the hight of the whole body is roughly between a 250th to a 400th or so, which is about the ratio of the size of the moon to the size of the sun 1/400. As can be seen from an earlier publish of this blog, people use the tip of their finger on the out stretched arm, to measure the size of the image of the moon, compared to that of the sun (being seen through a fog or cloud, as it is not good for the health of the eyes, to look at the sun directly.)