BE02 AND BE35 HAD NMAC WHEN BOTH ACFT WERE FOLLOWING TWR LCL CTLR DEP INSTRUCTIONS.

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ON OCT/XA/98 AT APPROX XA15; I WAS TRAINING AN EXPERIENCED PLT FOR FO DUTIES IN A BEECHCRAFT 1900. IT WAS A VFR DAY AND WE WERE IN THE PROCESS OF SHOOTING AN ILS 2 APCH INTO SAC. MY FO STUDENT WAS FLYING AND WAS 'ON THE GAUGES.' WE WERE ADVISED BY APCH CTL THAT OUR MISSED APCH PROC WOULD BE A L TURN TO 250 DEGS AND CLB TO 1500 FT. AS WE CROSSED THE OM WE WERE TOLD BY APCH TO CONTACT SAC TWR. AFTER CONTACTING THE TWR; THE TWR OPERATOR TOLD US TO START OUR MISSED APCH WHEN REACHING THE GOLF COURSE; WHICH IS SHORT OF THE RWY. THE TWR ALSO CHANGED OUR MISSED APCH TO A R TURN TO 150 DEGS WITH NO CHANGE IN THE ALT. AS WE APCHED THE ARPT; A BEECHCRAFT BONANZA WAS CLRED FOR TKOF ON RWY 20. THE BONANZA WAS NOT IN SIGHT. WE WENT MISSED APCH AT THE GOLF COURSE AND TURNED TO A HDG OF 150 DEGS AND STARTED OUR CLB TO 1500 FT. AS WE REACHED 1300 FT THE TWR INSTRUCTED US TO MAINTAIN 1000 FT. AT THIS MOMENT WE WERE STILL IN OUR R TURN WHEN I SAW THE BONANZA OUT OF THE FO'S WINDOW. HE WAS GOING APPROX THE SAME DIRECTION AS WE WERE. WE WERE VERY QUICKLY OVERRUNNING HIM AS HE STARTED TO TURN INTO US AND WE WERE TURNING INTO HIM. I GRABBED THE CTLS AND MADE A STEEP L TURN TO AVOID THE BONANZA. I ONLY GOT A GLIMPSE OF THE BONANZA BUT FEEL THAT WE WERE WITHIN 300 FT LATERALLY AND ON THE SAME ALT WHEN I FIRST SAW HIM. WE WERE CLBING OUT AT APPROX 160 KTS AND THE BONANZA WAS PROBABLY CLBING OUT AT 100 KTS. THE TWR THEN INSTRUCTED US TO CONTINUE OUR L TURN AND TO FLY OVER THE ARPT AND THEN TO CONTACT APCH CTL. I LATER TELEPHONED THE TWR TO ASK WHAT WENT WRONG. I WAS TOLD THAT THE BONANZA PLT HAD RPTED ME IN SIGHT AND THAT THE TWR OPERATOR HAD BOTH THE BONANZA AND MYSELF IN SIGHT AND SINCE VFR CONDITIONS EXISTED; THE RULES OF SEE AND AVOID WERE APPLICABLE. I AGREE THAT THE CONDITIONS WERE VFR AND THAT IT WAS THE RESPONSIBILITY OF EACH PLT TO SEE AND AVOID THE OTHER ACFT; HOWEVER; WHEN THE TWR CHANGED MY MISSED APCH INSTRUCTIONS FROM TURNING L TO TURNING R; THE SAME DIRECTIONS AS THE BONANZA PLT; THIS SET UP A RECIPE FOR DISASTER WITH BOTH ACFT CONVERGING AND TURNING TO THE SAME SIDE OF THE ARPT. IT IS MY PERSONAL FEELING THAT THE TWR OPERATOR ERRED IN THAT I DID NOT SEE THE BONANZA AND THAT I DID NOT RPT IT IN SIGHT WHEN QUERIED BY THE TWR OPERATOR PRIOR TO THE INCIDENT. I HAD RPTED THAT WE WERE 'LOOKING.' THE TWR OPERATOR ALSO SHOULD NOT HAVE TURNED THE 2 CONVERGING AIRPLANES INTO EACH OTHER. AFTER ALL; THE BONANZA HAD TURNED AWAY FROM US AND COULD NO LONGER SEE US. I WAS TURNING TO THE R WITH THE FO 'ON THE GAUGES' AND ALSO COULD NOT SEE THE BONANZA. THE BEECHCRAFT 1900 IS A TWIN TURBOPROP AND IS MUCH FASTER THAN THE BONANZA AND AS A RESULT WE OVERTOOK THE BONANZA IN SHORT ORDER. THE BONANZA WAS IN OUR BLIND AREA UNTIL IT BECAME VISIBLE AS HE TURNED INTO US.