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Mathematical Problem

So was the height you mentioned earlier the height from ground to top, or height from base of chimney to top? Either way you can easily calculate the hypotenuse and then have all 3 sides of the triangle. You can then scale one side down keeping the ratio the same.

Height of chimney is base of chimney to top.

Picc was taken 1.2 km away 90m below base of chimney
 
So is the problem really that you have a photograph that doesn't actually have a chimney in it.
You now want to add a chimney to the photograph but scale it so that it appears to be 1.2 kilometers away.
 
The relationship between distance and apparent height is given by:
A= h/d

Where A is the apparent height, h the actual height and d the distance from the viewpoint. Google linear perspective.

That'll give you the apparent height in real life, but to scae it for an image you need to compare against other things in the image. I think.
 

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