Airport zoning regulations adopted under this chapter shall provide for a board of appeals to have and exercise the following powers:

(1)  To hear and decide appeals from any order, requirement, decision, or determination made by the administrative agency in the enforcement of this chapter or of any ordinance adopted;

(2)  To hear and decide special exceptions to the terms of the ordinances which the board may be required to pass under the ordinance; and

(3)  To hear and decide specific variances under § 1-3-15.