You are completely insane.
In the link I provided it states the equipment needed to use a clinometer.
The second item of equipment listed is a TAPE MEASURE.
Because how else are you going to find out what this KNOWN DISTANCE is except by MEASURING IT?
No. That would be you.
The method you linked to describes a way to measure a distance using a known distance.
You can then use this newly measured distance to determine a new distance, and so on.
The fact remains, we don't need to take a tape measure to the star to know how far away it is.
The fact is that there are NO KNOWN DISTANCES in your mad model...
Because there is no measuring device capable of measuring them.
You might want to learn what a fact is.
There are plenty of known distances, such as the distances between various cities. Do you think it is impossible to measure distances on Earth?
You even provided a link which describes a device which can be used to measure these distances, or at least the basic idea behind it.
In case you didn't understand here is an example (I thought I provided it before).
You take a 1 m long ruler (Still no tape measure, just to further show you don't need one, if you like you can use one, even getting much larger distances.).
Use an angle measuring device, such as a protractor, to align the ruler such that it is 90 degrees from the line of sight to the tower.
Now measure the angle to the tower from the other end of the ruler.
Now use simple trig to determine the distance to the tower. You have a known length, and a right angle triangle with 2 known angles. This allows you to determine the other 2 lengths and the missing angle.
Now measure the angle to the top of the tower from one end of the ruler, and then do another set of simple trig and you get the height.
Nobody normal cares.
Well you are right. No one normal cares.
They would have dismissed your garbage as garbage and moved on.