Daily chess puzzle: Check Mate #452

Another puzzle from Dragoslav Andric’s 1981 book “Matni Udar”.  
White to play and mate Black. 

Mielcarek v Trošanko, correspondence 1978
Solution 
Nice; and not too hard, to say all the way to the end. 
1 Rh6+ gh[] 2 Rg6 Kh8 3 Qh6+ Rh7

4 Qf8+! Bf8[] 5 Rg8 mate. 

FEN 
5r2/1p1qr1pk/p4pRp/2bBpP2/4P2P/6R1/PPPQ4/1K6 w – – 0 1