What language do Native Americans speak in Washington?
Native Washingtonians (which makes as much sense as saying Native Americans) includes many tribes-Cathlamet, Chilluckittequaw, Columbia, Hoh, Humptulips, Klickitat, Lummi and so on. Unfortunately a lot of these languages have now been lost and many just speak English.
Hispanic-Americans speak Spanish and English. Hispanic people are language-defined, for they speak Spanish as native language. (Simply learning fluent Spanish, does NOT magically turn you Hispanic!) Some Americans who are descendants of Hispanics don't speak Spanish anymore, so they just speak English as their active tongues.
Is it sometimes considered rude to speak to Native Americans in their own language without any discretion?
It would only be rude if you haven't first verified that the person can understand that language. Most native Americans do NOT speak the language of their tribe, and we can thank English-speaking conquerors for that. If you know the person can understand that native language, I can't see how it would be taken as rude.
How was the relationship between the French and the Native Americans they met different from the relationship between the Spanish and the Native Americans they met?
Native Americans aren't learning their languages because the languages are lost. There is no one to teach the younger members of the tribe how to speak them. In the 1800's reservation schools would forbid the use of the native language and a lot of children didn't learn their language. If a language isn't used it dies. A few years ago I was doing research at U C Santa Barbara in the history department and was…