B737-700 FLT CREW ON APPROACH EXECUTED A GO-AROUND AND SUBSEQUENT NORMAL LANDING DUE TO LEADING EDGE TRANSIT LIGHT. A FLAPS 5 DEGS LNDG WAS ACCOMPLISHED TO SILENCE THE STICK SHAKER.

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ON FINAL APCH TO RWY; FLAPS 30 DEGS; 1200 FT WE NOTICED THE AMBER LIGHT ON THE FORWARD PANEL FOR THE LEADING EDGE FLAPS. WE LOOKED UP AT THE OVERHEAD AND THE L OUTBOARD SLAT WAS NOT OUT. I LOOKED OUTSIDE AT THE SLAT AND IT WAS FULLY EXTENDED. AT ABOUT 900 FT THE STICK SHAKER WENT OFF AND I EXECUTED A GAR. WE CLBED TO 5000 FT ON A R DOWNWIND. MY FO HANDLED THE QRH AND ATC WHILE I CALLED DISPATCH AND MAINT. WE DETERMINED THAT A FLAPS 5 DEG LNDG WAS THE BEST WE COULD DO AND KEEP A GREEN LIGHT. MY FO RAN THE NUMBERS AND DETERMINED WE HAD ENOUGH RWY AND STOPPING MARGIN; AUTOBRAKES REQUIRED. I DECIDED TO USE THE MAX POS BECAUSE OF OUR HIGH REF 156 KTS. ALSO; WE LANDED ON XXR BECAUSE IT IS THE LONGER RWY. WE LANDED 24 MINS LATE WITH NO OTHER CONFLICTS. WE KEPT THE PAX INFORMED THE ENTIRE TIME AND DID NOT DECLARE AN EMER. SUPPLEMENTAL INFO FROM ACN 797582: NOTHING COULD HAVE PREVENTED THIS. HOWEVER; THE QRH IS CONFUSING ABOUT THE LNDG. MAINT CTL AFTER THE FACT SAID YOU NEED TO GET RID OF THE YELLOW LIGHT FOR LNDG. THE QRH DOES NOT DIRECT THIS.