A Beaverton mailing address doesn't mean you are inside the city. Large parts of ZIP codes 97003, 97006, 97007, 97078, 97225 and 97229 are unincorporated, and there the county's rules apply, not the city's. Hillsboro and Tigard each have their own street tree permits. Your property tax statement lists the city you are in, if any.
That decides whether the tree in front of your house needs a permit to remove, how high it has to clear the street, and who to call when a neighbor's tree is the problem. Each area page spells it out, and the permit checker on the home page gives a first answer in two questions.
Don't see your neighborhood? If you are between Hillsboro and Southwest Portland and north of Tigard, we almost certainly work there. Call and ask.