ORIGINAL: Mynok
I agree their secondary batteries should bear, but I'm not convinced the main ones should.
I really don't get why BBs have this lingering, deeply ingrained doubt hovering over them.
Given their rate of fire and their traverse speed of their turrets, there isn't much reason not to believe that they couldn't hit targets a mile away. And they did, at Cape Matapan, as mentioned.
The guns on the Yamato are presumably the most cumbersome of all, they fired 1.5 times a minute (so we can say, every 45 seconds?) and had a train rate of 2 degrees per second according to navweaps.com. So the guns could in theory traverse about 90 degrees and not have their rate of fire impeded at all.
So, assume Yamato is facing north, firing at a DD 2000 yards away heading south, ie a worse case scenario. Assuming Yamato and the DD are at full speed for our worse case scenario, so the DD is accelerating off southwards at 27 knots + 35 knots = 62 knots, which is roughly 30 m/s. Yamato fires when the DD is bearing 90 exactly, Yamato wants to fire again in 45 seconds time when her guns have reloaded. Can she?
The ROF of Yamatos guns are one shot every 45 seconds, so the target will have moved in that time 1350 metres.
So inverse tan of 1350 / 2000, which by my reckoning is 34 degrees.
So, yes, she can, easily.