Yes, the exhaust is hot! There are no 'buildings' in the vicinity, only the pad & tower. To avoid undue damage, the whole structure is flooded with a staggering amount of water. The pipes to supply this water are about 1 metre in diameter. If you watch video of a launch, it is difficult to see the pad and exhausts due to the amount of steam produced. Once clear of the pad, rocket exhausts burn with a clean flame that leave little residue until high in the sky, when the water starts to condense into the familiar contrails. Solid fuel boosters burn with a dirtier flame as they run on solidified rubber particles and an oxidiser.