Hearing appeals. Unless otherwise provided by this chapter, the jurisdiction of the Board of Appeals shall be appellate only and shall be limited to hearing and deciding appeals from and reviewing any order, requirement, decision, interpretation, or determination made by the administrative official charged with the enforcement of this chapter. The concurring vote of a majority of the members of the Board of Appeals shall be necessary to reverse any order, requirement, decision or determination of any such administrative official, or to grant a use variance or area variance. Such appeal may be taken by any person aggrieved or by an officer, department, board or bureau of the City.