Even if you did all the stuff you said you did that doesn't mean you're not lying. To add to that I never said you were lying I simply gave reasons I did not believe you. This is the internet after all anyone can say anything. That being said, I apologize perhaps I jumped to conclusions too quickly.
However, at the end of the day I still don't believe you. What a coincidence that the proof you need to disprove flat Earth miraculously winds up in your Facebook feed.
It's cool I wasn't offended. It's totally rational to question what you hear on the internet. I just wanted to give you some anecdotes to give you some confidence in my claims.
I assure you it was completely random, not that that matters at all to the argument.
The distance of the sun changes the angle, of course the sun is not actually below the mountain or equal to it in height. For instance, if the sun right above the mountain the shadow that is produced will me much different then the shadow that's produced when the sun is much further away, I don't see why this is so hard to conceptualize for you. All that needs to happen is for the suns rays to catch the top potion of the mountain and this also explains why the occurrence of this is so rare.
Yes the angle of the sun does change, but not to a position that would satisfy this effect.
Think of it as a right triangle.
A is the location of the top of the mountain.
B is the location of the Sun
b is the distance of the position of the sun across the flat earth
As b increases the angle at ∠ABC get s smaller(as you said) but it never reaches zero or goes negative. So no matter how far the sun travels, the angle will never drop below the top of the mountain.
You can do the math yourself:
To solve for ∠ABC you use this formula: ∠ABC = sin-1(a/b)
("sin-" represent inverse sin, I use "ASIN()" in Excel)
For example:
Sun height ≈ 3000 miles.
Mt Rainier Height ≈ 2.7 miles
Distance from viewer to 1/4 orbit on Flat Earth Model ≈ 9000 miles
a = 2997.3 = 3000-2.7
b = 9000
∠ABC = 19.5 degrees = 0.34 radians = sin-1(2997.3/9000)
So at the theoretical time of sunset in Flat Earth Model, the sun would be at around 19.5 degrees above horizontal when observed from the top of the mountain.
In order to have a shadow on the underside of cloud cover, you would need to flip the triangle over. But since the Flat Earth Model considers the height of the sun to be a constant, the triangle could never flip over.
Why do you need a "nice consistent cloud ceiling?" Funny thing is I live in Seattle myself and the idea there isn't a "nice consistent cloud ceiling" often is just laughable. This phenomenon or other similar phenomenon should be occurring quite frequently with all this "nice consistent cloud ceiling" that we have out here.
Also, what's "just the right height" that needs to be achieved to get this effect?
If you've been to Seattle, you know that the cloud ceiling is often really low. You can't see mountains, you can't see sunsets, sometimes you can barely see the end of the street. When we first moved to Washington, it was in the winter and we didn't see Mt Rainier for the first month we lived there. It was constantly obscured by clouds.
Mt Rainier is 14,410 ft. For this effect you need a consistent cloud cover around 14,000 to maybe 25,000 feet.(I don't know the exact upper limit but I think this should be pretty close) If the clouds are too low the mountain is shrouded in clouds, and the sunset is blocked. If the clouds are too high the the shadow won't reach them, or will be too spread out to be noticeable. If the clouds are uneven like cumulus clouds, the shadow won't be well defined. Most importantly you need to have a break in the clouds to the east of the mountain. If there's no cloud break, no sunny skies to the east, there won't be any sunlight filtering through to cast the shadow.
This is exactly why I don't believe you, you literally just make stuff up. In one of your last post you said that in "your job" you calculate distances and do other stuff but when I pressed you on specifics you had nothing to say whatsoever. We've had a few discussions in the past about flat Earth you've always found a way to duck responding to my questions or resort to name calling.
I don't recall name calling(it's possible I have, it is the internet), and I've tried to be thorough in my responses. I did call Flat Earth theory "bullshit", which I firmly believe it is. That's not a direct insult to you, I know a lot of good smart people who believe some things that are "bullshit".
I think you missed this post where I responded to the inquiry.
Like I said earlier to daryldeal. I'm only pointing out one particularly damning flaw in the Flat Earth model.
I didn't use any jargon, I was just suggesting the various methods by which anyone can solve it on their own.
Here's some details.
Human visual acuity(20/20 vision) is approximately 1 arc minute or 1/60 of a degree.
That is the angle of acuity by which a human can differentiate two points. So if you drew two dots on a piece of paper and moved back until you could barely make out the gap between dots.
The triangle that would be from the two dots to the center of your pupil would be about 1/60th of a degree.
Using basic trig, the ratio of the the height of the triangle to the length of the triangle legs is about 1/3437.
Using this math I know at my job that a display with 1mm dot pitch will start to show pixels at around 3437mm(11.2ft) away.
If we go by the Flat Earth Wiki, the sun is 3000 mile high elevation, and 34 miles in diameter.
On a flat earth, the sun would need to be 3000*3437 = 10,311,000
miles from the observer before it essentially reached the vanishing point.
That is about 860 times the proposed diameter of the sun's path in Flat Earth model.
Using the same math the sun would have shrunken to pinpoint of light at about 116,858
miles.
This is the math I use to spec multimillion dollar displays, and that eyecare professionals use to diagnose visual acuity. You can go ask your eye doctor.
There are all sorts of problems with the Flat Earth model, I'm only focusing on this one issue because it's very easy to confirm.
I need to head home now, but I can show more later, I can do diagrams about how eyes and perspective work, I can show you a 3D rendering. Let me know it's really easy stuff.
Like I've said multiple times, let me know what you want clarification on. I'm writing these responses for fun, in between breaks. So I don't include all the details and specifics up front. If there's anything you need clarification or elaboration on, I'm happy to indulge.