Here's why:
* Angular size is how large an object appears in your field of view. It's determined by the ratio of the object's actual size to its distance from you.
* Tripling the distance means the denominator in this ratio (distance) increases by a factor of 3.
* This proportionally reduces the angular size to one-third of its original value.
Think of it like looking at a coin:
* Hold it close to your eye, and it appears large (large angular size).
* Move it further away, and it appears smaller (smaller angular size).