How high?
Let us assume you use an End Fed Half-Wave Antenna on 40 meters. The antenna is fed at one end via a tuner at ground level and supported at the other end by a fiber glas mast. What you get is a sloping dipole. The question is then how tall the mast should be to get a satisfactory result. Of course the ultimate would be to have a 20 mast so that you would get a half-wave vertical antenna. That would give you an excellent DX-antenna and a very good solution for your home QTH. For portable operations it would, however, not be very practical. A mast of that length is too difficult to erect for one person and to heavy to carry.
Playing around with 4nec2 antenna modeler you will find that with a mast shorter than 10 meters the performance will degrade rapidly. Above 10 meter the performance will improve significantly only above the 15 meter level. This means that the the end of a sloping Half-Wave should be at least 10 meters up in the air, but if you want significantly better performance you must aim for a mast capable of bringing the end more than 15 meters up.
These calculations are made in the theoretical world. In the real world they are probably totally irrelevant. Out in the bush you will be surrounded by trees, bushes and features of the geography. One setup will not be the same as an other. Even if i can not be shown in theory, every meter above 10 meters probably make sense in practice as it will raise the antenna above close by objects.
Another consideration is of course how heavy a mast you want to carry and how tall a mast you can afford...
Results after a lot of field use
As of time of writing (December 2011) I have been using an End Fed Half-Wave antenna and a simple tuner during more than 60 SOTA activations on 30 meters and 89 SMFF:s on 40 and 80 meters. Most of the time I have had a fiber glass pole as support. The end/apex of the wire has been 10-11 meters over ground in both cases. I have found this antenna to be up to the task generating good signal reports all over Europe and around Sweden with four to five watts output.
I have understood that the feed point impedance of an End Fed Half-Wave antenna can vary between 2500 to 5000 ohm depending on the thickness of the wire, the configuration, height over ground and environment factors. I have also noticed that the length of the wire is not very critical as long as it is close to a half-wave. One or two meters shorter or longer does not seem to matter very much.
If you forget the counterpose wire at home, do not panic. You will be heard anyhow.
The
Hendricks SLT+ is an excellent tuner for tuning half-wave antennas.
The best location for the antenna is in the clear and just a couple of meters from salt water. You will be completely blown off by the results! The next best location is on a hilltop and in the clear with no trees around. However, you will be heard even in the woods among high trees. The only thing you have to watch is the wire tuching any thick brances. If it does it will degrade performance significantly!
I do not say that an End Fed Half-Wave antenna is some kind of miracle antenna. It performs just like any other type of dipole. However, if you are looking for a simple and very portable antenna that is easy to put up and get operating it is hard to beat. With a telescopic mast it takes less than five minutes to erect in almost any condition and in any place.