"Reg Edwards"
The missing 90 - 57 = 33 degrees are just not needed for
resonance. So why is everybody making such a fuss about it?
_____________

An antenna * system * does not need to have X number of degrees to be
resonant. It only needs to have ~zero reactance at its feedpoint -- which,
for electrically short AND long radiators can be achieved by use of a
suitable matching network.

Such networks don't add or subtract electrical degrees, however. They only
reduce/cancel the natural reactance of the physical radiator in use.

RF