On the Way to The Man in the Moon

From our viewing perspective on the surface of the Earth, the Sun is almost perfectly eclipsed by our Moon. This means they have the same (relative) size.

The Moon has a radius of around 1,700 kilometres and orbits Earth at an average distance of 380,000 kilometres. The Sun has a radius of approximately 700,000 kilometres and Earth orbits it at a mean distance of almost 150,000,000 kilometres.

Knowing the sizes and orbits of the Sun and Earth/Moon we can form triangles and use trigonometry and/or intercept theorem to calculate the vanishing point, the distance from the Sun (and Moon) where both will have a (relative) physical size of zero.

Surprisingly this vanishing point is not as large as one might imagine.