That is pretty typical it seems for a 5th grader. I babysit fourth graders and a sixth grader and they are all right there.
My daughter is in 2nd and has 20 minutes of reading every night, then a sheet of either math or writing that takes another 15 to 20 minutes. At first it seemed like a lot but she is done and it is time to chill. She is in Girl scouts and that in no way even causes issue with homework, it is twice a month. Her teacher doesn't believe in weekend homework unless a special project.
She is done by 3:40ish and ready to relax. I certainly couldn't imagine having to rush around after school and worry about dinners and all that to accomodate more activities! Just nuts what we all do now these days. Soccer, music, ballet lessons, piano, or whatever, always in a hurry and never just letting kids relax!
I think three activities a week on top of having to do homework is a lot personally.
I wouldn't say anything to the teacher, really. It is their job to teach your child in a manner they think will do them justice heading into 6th grade, where the homework is even harder and more detailed! Middle school is tough and she has to be prepared.
I would cut back her activities.
My daughters teacher has a great philosophy that homework should never be a chore. She sends home a packet on Monday evenings and it is to be returned by Thursday morning. No homework on Fri, Sat and Sun other then reading on an honor system. That to me is more then reasonable.
I don't think your daughter has it bad, I mean an hour after school is really minor and if her activities on top of that are causing her to be overloaded then something has to give. Don't count on a teacher to change her method of teaching because your daughter has a lot going on!!!
Not to sound mean but I think kids should have ONE activity a week maybe two tops. Kids are overloaded and though they seem like they like it I am willing to bet most kids want to come home and chill out, not have to be somewhere again in the car, getting ready to leave again and all that stress. Family meals get cut short if even just eliminated. Not fair to them at all.
Without activities all over the place, they come home say 3:00, do their homework, done by 4:15 and get to relax at home like they should, not having to head out the door again!
If you are truly concerned go to a PTA meeting and speak up and talk to other parents, don't run directly to the teacher. I would evaluate why you really think it is too much. I don't agree with weekend homework but an hour a night isn't bad.