Tree Trunk Illusion: Does it Disappear Over the Horizon?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
5 replies · 2K views
Ryan Bruch
Messages
18
Reaction score
0
Supposed there is a tree on a perfectly flat plane. If an observer in front of that tree moves further and further away from the tree, the tree would look smaller and smaller. When the observer moves further and further away, would the lower part of the tree's trunk seem to disappear as if sinking below the horizon?
 
Physics news on Phys.org
No. Why would it?
 
  • Like
Likes   Reactions: davenn
A person claimed that it does and that he had observed it before, on Earth though. These are his illustrations:

fig74.jpg


fig76.jpg


fig78.jpg


fig79.jpg


fig80.jpg
 
Earth is curved, an oblate spheroid.
 
  • Like
Likes   Reactions: davenn
In more words, what Doug is telling you is that YOU were the one that specified a condition of a perfectly flat surface, thus, there is no such thing as a horizon. So, what is it? a flat surface or an sphere...please state your problem correctly and fully form the beginning.
 
  • Like
Likes   Reactions: davenn
In Nathaniel Bowditch's American Practical Navigator is listed a most useful thumb-rule for estimating the distance to the horizon for practical heights of eye.