It is Black to move. How can Black get out of this mess? White is threatening Qxf7 mate. Can Black save the game? Can Black win this game? 
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Rxa3!
1…Ra3 2.Kxa3 (2 ba Qb1+#) Qa1+ 3.Kb4 Qxb2+ and so son
Rxa3 and then Qa1+ combining with the bishop……..
Ja, Ta3 scheint mir das richtige zu sein, mit dem Bauern Schach dann… aber das ist nur eine Ahnung meines schachlichen Unterbewusstseins, ich habe kein Brett dabei, wenn ich am Computer sitze…
1…Rxa3+ 2.Dxa3 (if 2.bxa Qb1#; if 2.Kb4 Rxf3 -+)Qa1+ 3.Rb4 (if 3.Rb3 Qa4#) Qa4+ (not 3…Qb2+ 4.Ra5 and black cannot check nor defend f7) 4.Rc5 Qc4+
I see this as a forced line so I will play in a real game. Then the bishop joins the fight and or white king is mated or black queen can defend f7.
1.-Rxa3 2.Kxa3 (bxa4 Qb1#) Qa1+ 3.Kb3 Qa4#.
I found Rxa3+
when it is mate next move there is only one move to look at and that is check. look for all possible checks. so your hint makes the puzzle very easy to solve. there is only one possible check and that was the answer.
Tommy