Braintree has chosen police Lieutenant Wayne Foster as the new deputy police chief. A member of the Police Department for 30 years, Foster has worked in a supervisory role for 25 years and beat out four other applicants for the job. “He has a wealth of experience, [and] the respect of the department,” said Police Chief Russell Jenkins, who had been deputy chief. Jenkins recommended Foster for the job, and his appointment was made by Mayor Joseph Sullivan. The 56-year-old Foster said he was getting used to the new role, but was pleased to have been chosen. “I’m happy to be able to work with the chief. We started together; we were partners at one time and friends for a long time,’’ he said.