During my visit to Easter Island, I took a look to all those places, where possibly an antenna for shortwave operations could be found. Of course, this includes all the agencies for safety and security.

Close to Mataveri airport, there is the headquarter of 'carabineros', the regular police. A look to their antenna arrangement reveals 2 pieces usable for shortwave transmissions, first one a dipole...

...and the second one a sloping one:

it is to the right and left side of the mast, not easy to see. Next picture is a bit better:

.