You made a big mistake so the boat has hidden behind the wave. So the earth is still flat.
No, it is still you that made a big mistake.
You are trying to apply perspective twice.
That isn't how it works.
You are yet to provide any justification for why the boat should be hidden by the wave.
All the math shows it is still visible.
No, I have proven yourself ignorant.
I'm not the one ignorantly trying to apply perspective twice.
I'm not the ignorant one trying to use angles as lengths.
I'm not the ignorant one that is unable to provide any math to back them up.
Pay attention he talked a 1000 metre distance according to my calculations. You know the wave distance is anywhere isn't 1000 metres.
Follow your own advice.
Read what he is actually saying to figure out what that 1000 m is.
He isn't saying the wave is 1000 m away. He is saying your line of sight from the top of the wave would hit sea level 1000 m away.
But you are correct that that number isn't correct. He overestimated it.
If you wave is 0.1 m below you and at a distance of 10 m, the gradient of the line of light which just misses the top and comes up to your eye is 0.1 in 10.
If you project this ray of light backwards until it hits the sea/ground, i.e. 2 m below you, you will find that this is at a distance of 200 m.
Would you like me to correct him as well?
If so, here:
While you 1.9 metre wave does have an angular size of 10.75° the sight-line from the top of the wave hits sea-level 1000 metres from the observer and so hides nothing.
You have severely overestimated that number.
It only takes 200 m for the sight line to hit sea level.
1000 m would be required if the wave was 9.9 m high and you were 10 m above sea level.
Happy now?
Your position is now even worse, as 200 m is less than 1000 m.
There is no reason for the wave to hide the boat.
Nope. It is not. I am not talking the theory, I am talking about pratic.
And in practice, angular sizes are ANGLES, not lengths.
Do you understand the difference?
An angle is not a length.
So, no you are not presenting relativity or practice. You are representing nonsensical fantasy.
If Earth was flat, the top of the boat would appear at an angle of dip of 0 degrees, as it is at the same height as you.
The bottom of the ship (where it meets the water anyway) would appear at an angle of dip of 0.01 degrees.
The top of the wave would appear at an angle of dip of 0.57 degrees.
This means the wave CANNOT obstruct the view to the ship.
If you want it to you either need to go lower, or have the wave go higher.
angular size is also the projection of the visual angles on your eye and this value can be expressed on a line.
Yes, A LINE!
A single line.
Not as a 2D diagram.
That is consistent with what I have already shown, where from 0 degrees, going down you have the ship covering 0.01 degrees, followed by the sea for 0.56 degrees, followed by the wave for 10.74 degrees, followed by the sea for the rest.
Again, YOU CAN STILL SEE THE SHIP!
The wave is well below it.
Don't cry and grow up.Now you have learned what is angular "size".
And of course, you completely ignore the fact that I know how angular size works and clearly showed what it would look like as a line, with the boat still visible.
Ignoring everything which shows you are wrong wont save you.
Repeating the same lies wont save you.
Crying wont save you.
You need to explain how a wave with its top at an angle of dip of 0.57 degrees can magically jump up and block a ship where the bottom of the ship only has an angle of dip of 0.01 degrees.
Again, if you want to try drawing a crappy picture to try and demonstrate it, it should look like one I provided before, e.g. this:
Or for a close up in the small angle section, it will look like this:
Some key things to notice:
You don't keep the sea level way down below. That comes up to eye level.
You don't shrink the ship down to sea level, you shrink it up to eye level.
The part obstructed isn't at any fancy angle, instead it goes horizontally back, as it is an angular measurement.
Your eye is not shown in the diagram at all, as it covers the entire left side.
That is how perspective works.
The distance from your line of sight is reduced, not magically increased like you want to pretend.
Get it now?
If Earth was flat the entire ship should be visible.
The only solution is to have Earth actually curve away to block the view of the ship.