Trustees appointed pursuant to § 49-32A-7 shall hold office for the term of their respective appointment or until their successors are appointed and qualified; at the end of the respective terms of the trustees, the board of county commissioners shall appoint a new trustee for a three-year term, and in case of a vacancy by death, resignation, removal from the district or otherwise a trustee shall be appointed by the board of county commissioners to fill such vacancy to the end of the term of such trustee.
SDCL 49-32A-8