I asked WDC to correct the misleading information in his graph, but I changed my mind. I like it in this form. Useful.
So to be clear, can everybody understand why the WDC curves have a range of much less slope than the curves I use?
This is a basic relation of drop vs tilt. The WDC curve represents how the drop will be seen from an observer hovering about 110 stories above earth in the skies of Lower Manhattan. If we had video with a viewpoint which was hovering about 1100 ft above the earth, looking at the roof-line from the north, you would use the WDC curves.
If you want a relation between perceived drop from the Sauret viewpoint which was looking up at the top of the skyscraper at an angle of about 12 degrees above the horizontal, you would use the curves I use.
It is interesting to compare the two ranges of slopes. If the curve has a range of slopes close to zero, like the WDC a-b curve, we cannot use drop to accurately predict tilt angle. It is very difficult to map a 1:1 correspondence between tilt and drop because a tiny drop can mean a large change of tilt.
The higher the range of slopes in the curve, the easier it is to use the drop vs tilt relations to estimate tilt.
Myriad and WDC are correct in that if Mr Sauret was hovering above lower Manhatten about 1100 ft above the ground with his camera, his video would have been useless to estimate tilts of the north wall and antenna.
The farther down you are, the more of an angle your view makes with the horizontal, the better you can map a useful 1:1 correspondence between tilt and drop.
The question is whether the Sauret viewpoint is looking up at enough of an angle to map an effective relation between tilt and drop to be useful. It is, as the model of the NW corner dropping 1 degree shows. We can clearly mark the drop of the NW corner as tilt increases from 0 to 3 degrees. We can clearly distinguish drops that correspond to 1 degree tilt or 0.5 degree tilt.
If our viewing angle was much less than 12 degrees upwards, we wouldn't be able to see the NW corner of the model drop clear enough to extract tilt information.
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On quotes. I already mentioned if the post I am quoting is on the same page, I write the post number. If it is on a different page, I write the post number and link to the quote. The moderator said that was not against any rule.
I post in simple text only because I later return to extract useful information. I write to formulate and extract information, not to chat. I don't save everything since most of the posts are useless from the point of view of research.
If you cannot find a quote that is on the same page with the knowledge of the post number, I cannot help that.