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From my quick search which may be incorrect, a cell tower outputs 100w for city towers and up to 500w rural. With electromagnetic radiation following the inverse square law, you probably are getting way more EM exposure from the cell phone in your pocket or the computer at your desk than the cell tower.
And as was stated the antennas aren't optimized for vertical transmission so even less. It wouldn't surprise me if standing under the tower and you have a signal it is bounced off a natural reflector or even more likely on a totally different tower.
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The distance is small directly under the tower,
and may well be in near field conditions depending on actual wavelength.
We had a comms system on a U-2.
At a nominal 60,000 ft from the top of the fuselage the signal
strength of a blade (AT256A, IIRC)
antenna in UHF (225 MHz to 500 Mhz) was more than adequate
for 1E-6 BER directly under the plane using 4-ary digital FSK
modulation at 32kBaud/s in 25 kHz BW.
The problem is that indirect (reflected) paths also existed from
signal reflection off the large 'super pods) used to contain the SIGINT system.
We provided real time system SIGINT EW results to ground terminals directly
under the plane.
The modelling was an absolute nightmare.