Very Late
If you are going to be a lot later than 5 minutes, then you should call your manager and tell them about it.
"Hi Barbara, I'm going to be 30 minutes late today. My car is having trouble this morning, so I arranged for a ride with a friend."
"Hey Jack, I'm running a little late today. I just got out of my dentist appointment and it was longer than I expected."
"Mark? This is Pat. I'm stuck in traffic. I think there is an accident that is holding up traffic. I'm going to be a little late.