The angle of the Beam Searchlight #1 as roughly measured on the photo is ~32 degrees in elevation. As measured in the Photo the Beam spread angle is 2.5 degrees. These are raw data that represent the camera's perspective as seen in a 2D photograph of a 3D environment. This raw data can't tell you very much unless one knows the actual Beam spread angle of a Searchlight. Thanks to booN and his links in his notes from a recent post of his, the Beam spread angle of an "in focus" or 'unmodified' Searchlight is 1.25 degrees. Now that simple piece of information can be used to make some sense of the raw data from the Photo.
In a previous post I discussed the 'blast' diameter of the 3 inch shells seen in the Photo and how the angular size as seen in the photo is directly related to the distance from the camera which can be calculated easily by employing the rule of 57.
Without knowing exact values both 'Blast' diameter and angular size as viewed from the camera must fall within some certain specific ranges and by making some 'best guess' on my part I calculated the camera was 9,771 ft from the 'Blasts' if their diameters were ~20 ft and the camera viewed them as ~7 mins arc in angular size. This also gives us a calculation of altitude of 3,019 ft.
Distance = 1 degree arc/angular size * diameter * 57.
By measuring the approximate elevation angle of the 'object/searchlight convergence' above the expected horizon, being something around 18 degrees, we can calculate Altitude using the Distance calculation above.
Altitude is simply a matter of solving for length of the Opposite side of a right triangle. The above distance figure being the Hypotenuse and the approximate elevation angle of the 'object/searchlight convergence' above the expected horizon being around 18 degrees we can then solve for altitude.
Hypotenuse * elevation angle sin = Opposite
Keep in mind these are guesses, but the margin of error is not that great. You would basically have to start plugging outrageous numbers for the variables just to get an Altitude figure above 4.500 ft or below 2,250 ft.
Given this, I'll consider to be a baseline. Now back to the Searchlights. Thanks to booN's notes and links we can know that the 'unmodified' and "in-focus" Searchlights have a Beam spread of 1.25 degrees. This is almost certainly the actual Beam Spread of the Searchlight #1 as seen to the left on the unretouched version of the photo. This simple bit of information (1.25 degrees) is the key to making sense of the raw data as measured in the photograph.
If the 'Blasts' are assumed to be ~20 ft in diameter, you can roughly fit around seven of these end on end through the
Searchlight beam at the point it intersects the 'object/conversion'. This means the diameter of the Searchlight is likely something around 150 ft in diameter at the intersection just to use a round number. Also note the ratio here helps fix the parameters within some certain range. i.e. if the Searchlight beam diameter is said to be larger, then the 3 inch shell 'Bursts' diameters must also be larger.
Now, if ~150 ft is the Beam diameter with a Beam spread of 1.25 degrees, then the Searchlight should be 6,875 ft away from the 'object/conversion'. If that is true then the Searchlight was closer to the 'object/conversion' than the camera was at 9,771 ft.
If the 'object/conversion' is one point in the sky then the closer Searchlight should be elevated above 18 degrees. Crunching the numbers this is indeed the case as we get something around 26 degrees.
This agrees with the camera angle if the camera is further away from 'object/conversion' than the Searchlight is.
Here below I've rigged up a little jig to illustrate how the camera misrepresents the 3D environment. This does not represent the Photo, but I'm just using these to illustrate the point.
Note the first Photo taken at a perpendicular angle basically represents the true elevation and Beam spread angles, but when things are recorded in 2D by the camera at Obtuse angles as seen in the second Photo the Beam spread appears to double and the elevation angle seems apparently steeper.
The perpendicular Photo is relatively accurate, while the Obtuse angle Photo seems to show a Beam spread angle twice that which it really is and an elevation angle that appears steeper than it actually is.
Whoever fights monsters should see to it that in the process he does not become a monster. And if you gaze long enough into an abyss, the abyss will gaze back into you. - Friedrich Nietzsche