> Does that bamboo grow in the UK climate? Any other suggestions for a
> fast growing tree that perhaps will reach a maximum of 5m or so? I aim
> to plant around 5 meters from the wall of the house will that be ok?
Yes, the bamboo I mentioned is hardy to -25C, and is very happy with
English summer temps, but does need to be watered in a drought. If you
are happy with 5m, then most bamboo suitable for the British climate
(there are many but be careful about invasiveness, only Fargesia and
Thamnocalamus are reliably non-invasive.
Someone mentioned leylandii and eucalyptus as fast growers. True, but
they won't stop growing.
I think if you want a "tree" that stays below 5m, you are really into
the category of largish shrubs, such as the photinia someone suggested.
There are plenty of others, such as Cotinus, many kinds of Berberis,
Dogwoods, Philadephus, etc, etc. A fruit tree on semi-dwarfing stock
will also be OK.