Simple height measurement method
All the humorous answers aside, I just came up with an idea how to measure the height of any object without the need to even come close to it, using just a digital camera.
Take a picture of the object at some distance from it (far enough that the lens' field is "flat" (i.e. angular distortion-free)). Leave something of known length (e.g. your friend - pretend you're just taking a tourist snapshot) where you took the first picture, walk some distance straight away from the object and without changing the focal length take the second picture.
Open the pics on computer and measure the three lengths in pixels - the height of the antenna P1 in the first and P2 in the second picture, and height of your friend P3 in the second picture.
These pixel counts are proportional to tangent of the angular measurements. If the unknown height of the object is H and you were at unknown distance X from it when you took the first picture,
P1 = K*H/X
where K is some coefficient depending on focal length, camera's sensor size and pixel count.
For the second picture, you walked some unknown distance L, so
P2 = K*H/(X+L)
If your friend's height is h, then
P3 = K*h/L
We have 3 equations with 4 unknowns: K, L, X, H. Fortunately, K cancels out when we derive H:
H = h*P1*P2/P3/(P1-P2) Very simple, quite accurate and does not raise any suspicion.
I'll test this method with Empire State Building, let's see how close I will come with the correct number. Anyone to try this method, too?