On most if not all Sikorsky designs the mast is tilted three degrees forward. In a hover the blades will align themselves with the local horizon which makes the helicopter hover with the tail down by three degrees. On most Sikorsky helicopters there is a built in rigging change when the pilot goes into a hover. The disc will tip down about 7-degrees to the left to compensate for tail rotor translation. So when coming to a hover the helicopter will hang down at the tail and be tilted to the left so the tail wheel hits first and the left wheel makes contact before the right wheel. On those helicopters equipped with an autopilot or a SCAS this tilting must be taken into consideration when rigging the autopilot or SCAS to the flight control system. On those helicopters equipped for SONAR dipping the SONAR operator has the capability to null out autopilot or SCAS inputs so the helicopter can remain directly over the SONAR ball.
As far as the Apache pilot aiming the Chain Gun ® that has been pretty well explained. There is an urban myth that states that on one occasion there was a disconnect between the pilots helmet and the gun. The gun was pointing to the left and the pilot was aiming in another direction. When the trigger was depressed the pilots’ wingman was shot out of the air.