H25B CREW AND A B747 HAD LESS THAN LEGAL SEPARATION IN ZLA CLASS A. THE HAWKER 800 CREW DID NOT FOLLOW TCAS RA GUIDANCE.

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AT LEVEL CRUISE; FL 350; TCAS RA ALERTED 'TFC' 'DSND' WHILE ZLA CENTER ALMOST SIMULTANEOUSLY ISSUED A CLB TO FL 370 AND A LEFT TURN TO 250 DEG. WE COMPLIED WITH THE ATC INSTRUCTIONS OVER THE TCAS RA AND EXECUTED THE CLBING L TURN. THE TFC WAS VISUALLY ACQUIRED AND WAS A DSNDING B747 CLOSING FAST. UPON REACHING ASSIGNED HEADING AND ALT ZLA CENTER QUERIED US 'HAWKER 800 ARE YOU AT FL 370?' WHICH CONCERNED US AS TO WHETHER WE RECEIVED THE CORRECT INSTRUCTIONS FROM ATC. THE B747 PASSED APPROX 500 FT BELOW US. ATC THEN THANKED US FOR OUR HELP. WE THEN REQUESTED OUR ORIGINAL ALT AND DIRECT AVE WHICH WE RECEIVED. OUR CONCERN AS PREVIOUSLY STATED; DID THE CTLR GIVE THE CORRECT ACFT THE CLB; WHEN OUR TCAS RA SAID 'DSND'; AND IF OUR TCAS RA SAID 'DSND' DID THE B747'S TCAS SAY 'CLB'; THEREBY HAVING TWO ACFT CLBING INTO EACH OTHER? CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE CAPT WAS A RETIRED ACR PLT; WHO HAD EXTENSIVE TCAS TRAINING AT THE ACR. HIS CURRENT EMPLOYER HAS LITTLE IF ANY TCAS TRAINING. THE CAPT RPTS THAT HE HAS NEVER HAD A HIGH ALT TRAINING EXPERIENCE WITH A TCAS RA IN THE SIMULATOR. IN FACT GETTING TO HIGH ALT ALMOST NEVER OCCURS IN THE SIMULATOR. THE RPTR SAID THE TCAS RA AND THE CTLRS INSTRUCTIONS WERE ISSUED ALMOST SIMULTANEOUSLY. HE SAID THE B747 WAS DSNDING FROM FL 390 FOR AN LAX ARR. HE IS AWARE OF COORDINATED TCAS RA'S; BUT REACTED TO THE CTLR INSTRUCTION; RATHER THAN FOLLOWING TCAS RA GUIDANCE. HE REALIZES THIS WAS A MISTAKE. HE WISHES THAT HIS SIMULATOR TRAINING REQUIRED HIGH ALT TCAS MANEUVERS.