I have a photo with three towers. I know that the base of all three towers are at the same elevation, and at the top they each comes to a point. Two of the towers are the same height, though they appear to be different heights in the image, due to perspective.
I know the x/y/z coordinates of the peaks of the two known towers. I know the x/z coordinates of the third tower. I am trying to find the y (height) coordinate of the peak of the third tower. All three peaks are clearly visible within the photo, but despite knowing that the bases are all at the same eleveation (lets call it y:0) They are not visible in the photo. I don't think this should have any affect, as the are known to be equall I should only have to deal with the x/y/z of the three peaks, and I think I can safely ignore anything else.
For clarity: X = East/West, Y = Elevation and Z = North/South
Tower 1 Peak (X, Y, Z) : 0, 129, 0
Tower 2 Peak (X, Y, Z) : 16, 129, 97
Tower 3 Peak (X, Y, Z) : -40, ???, 78
The following are the X/Y pixel coordinates of the three peaks in the photo:
Tower 1 Peak (X, Y): 1235, 227
Tower 2 Peak (X, Y): 1445, 528
Tower 3 Peak (X, Y): 2042, 397
Please note that the pixel coordinates are taken with 0,0 being the top left corner of the image.
Is it even possible to calculate the approximate height of the third tower? If so, how might I go about doing do?