I had one of those old antennas on my roof.The house had to be tented for termites and the pest control company cut it off.There was some bad water damage on the roof because the tar around the antenna had rotted away.Also where the guy wires were screwed in there was some water damage.Be sure to check your roof for damage after you cut the antenna down.
And be sure not to cut it down during a lightning storm while wearing a tin foil hat.