The zoning board of appeals is vested with the following jurisdiction and authority:
(A) To hear and decide appeals from any order, requirement, decision, or determination made by the director of public services under this chapter.
(B) To hear and act upon all applications for variations and special uses, in the manner, and subject to the standards, prescribed herein; and to report its findings and recommendations to the city council.
(C) To hear and decide all matters referred to it or upon which it is required to pass under this chapter.
('69 Code, App. A, § 10.2-2)