Beacon beam not viewable on low render distance

When a beacon is placed on the ground, if you go high up (on either survival or creative) and your render distance is on tiny, you will not be able to see the beam of light from the beacon as you go higher up (not sure how many blocks up, but probably at least 50), even if you are only a few blocks away from it or you are right above it. I'd like to see that you can see it extend all the way up.