American Airlines Flight 1375! Las Vegas to LA. Miss our flight. But we were here on time? They have a 45 minute prior boarding policy. So myself and my wife of 29 years. We waited for the next flight 3 hours later. I still have a chance too get home to LA. I'm a culinary student, I need to get back in time for class at 2:00pm. Standby flight at 12:30? We waited at gate 10. Watching everyone board even folks that literally ran up 2 minutes before their so called policy time of 45 minutes. I have already let two attendants know I'm on standby. Well here we go. First they let on an elderly woman on standby. No problem. Now a young lady also on standby with her eye seeing dog walks up with appear too be her brother maybe. Not knowing she and her dog?? We going too get our seats. Cause she bought one for her and the dog. I don't hate dogs are blind people. I hate BS. So the attendant calls my name and my wife name? We are excited cause we are going to get on the plane. Maybe make my culinary class after all. So the attendant walks us both down to plan entrance. She has a small discussion with the other attendants. They are speaking about the lady and the dog they let on before us. We can hear them talking. So she asked me over into the plane. Says sorry we only got one seat. You two got too decided right now who's going and who's staying? I said you told us we on board. She said Sir I never. Then said well? I said no I'm staying with my wife of 29 years. The people clapped as we walk back out the plan entrance with our heads held down. The attendant still was not sorry. We felt humiliated and embarrassed. No standby or brand new reservations. Stuck in Las Vegas. Hopefully they will keep their promise in 4 hours from now. I will probably not fly with American Airlines again. This was so rude.