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How do you reconcile such phenomenon of horizon line of sight. Earth being round, at a certain height above the oceans surface can only have a line of sight to a certain measurable distance. However if height of your line of sight increases, the horizon distance also increases.

You can take this a step further and actually calculate visible horizon distance based on the circumference of the earth and altitude. If you attempted to do this using a flat plane your calculations would result in inaccurate solutions.

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Ah. The distance you can see is limited not by the curvature of the earth but by atmospheric conditions. Even on the clearest day air itself has a certain opacity. Even if the globe earth were real, this opacity would limit your vision before the globe earthers' curvature would. That's why you can't see all the way to the ice wall.

Was that your main objection to the truth of flat earth?

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I don't have any objection. I just find it to be logically false based on personal experience and observation along with the application of simple geometry and math. It's a completely unemotional challenge to your stated claim.

For example, on a clear day. The human eye can see roughly 12 nautical miles. However, standing at sea level affords you only a few miles. Increasing your elevation can increase the distance of the horizon accurately to 12 miles by adjusting for the curvature of the earth. Additionally, you did not address the similar example I provided which uses high frequency RF which tends to not have it's line of trajectory impacted by atmospheric affects. This is equally calculable for the curvature of the globe, as I have done so multiple times when developing radar employment plans for use between military assets at sea.

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Increasing your elevation can increase the distance of the horizon accurately to 12 miles

This is because you get into thinner atmosphere with increased elevation. Thinner atmosphere = lower opacity.

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Additionally, the same applies to high frequency rf beams which tends to be less susceptible to atmospheric effects which could potentially allow lower frequency waves to propagate beyond the horizon caught in thermal layers like ham radio does.