(1) All airport zoning regulations adopted under this chapter shall provide for a board of adjustment to be composed of not less than three members, to have and exercise the following powers:

(a) To hear and decide appeals from any order, requirement, decision, or determination made by the administrative agency in the enforcement of the airport zoning regulations, as provided in Section 61-7-23.

(b) To hear and decide any special exceptions to the terms of the airport zoning regulations upon which such board may be required to pass under such regulations.

(c) To hear and decide specific variances under subsection (2) of section 61-7-17.

(2) Where a zoning board of appeals or adjustment already exists, it may be appointed as the board of adjustment. Otherwise, the board of adjustment shall consist of five members, each to be appointed for a term of three years by the authority adopting the regulations and to be removable by the appointing authority for cause, upon written charges and after public hearing.

(3) The concurring vote of a majority of the members of the board of adjustment shall be sufficient to reverse any order, requirement, decision, or determination, of the administrative agency, or to decide in favor of the applicant on any matter upon which it is required to pass under the airport zoning regulations, or to effect any variation in such regulations.

(4) The board shall adopt rules in accordance with the provisions of the ordinances or resolution by which it was created. Meetings of the board shall be held at the call of the chairman and at such other times as the board may determine. The chairman, or in his absence, the acting chairman, may administer oaths and compel the attendance of witnesses. All hearings of the board shall be public. The board shall keep minutes of its proceedings, showing the vote of each member upon each question, or, if absent or failing to vote, indicating such fact. The board shall keep records of its examinations and other official actions, all of which shall immediately be filed in the office of the board and shall be a public record.