Doing some quick research on that antenna, it's 62 inches long so that makes it a quarter wavelength on about 45Mhz. Too short. I guess the base has a coil in it, so as is ... it won't work.
You could mount it on a non-conductive mast and add 37 inches of wire to it to make a ground plane, but you'll still need to run coax and make some radials.
I'd bail on that plan and just put up a simple dipole. Build one cheap or you could buy one.
KC9UNS home brew 10 Meter dipole - YouTube
Cut it for 28.450mhz and even without an SWR meter to check the matching, it should work pretty darn well.
234/28.450 = 8.22 feet on a side.
Save that whip for a future 6 meter whip or something for your police scanner.