To hear and decide appeals where it is alleged there is error in any order, requirements, decisions, or determination made by an administration official in the enforcement of these sections or of any ordinance adopted pursuant thereto.

To hear and decide all matters referred to it or upon which it is required to pass under such ordinances.

In passing upon appeals, where there are practical difficulties or unnecessary hardships in the way of carrying out the strict letter of such ordinances, to vary or modify the application of any of the regulations or provisions of such ordinance relating to the use, construction, or alteration of buildings or structures or the use of land so that the spirit of the ordinance shall be observed, public safely and well-being secured, and substantial justice done.

In exercising the above-mentioned powers, such board may, in conformity with the provisions of this ordinance, reverse or affirm, wholly or partly, or may modify the order, requirement, decision, or determination appealed from and may make such order, requirement, decision, or determination as ought to be made and, to that end, shall have all the powers of the officer from whom the appeal is taken. The concurring vote of four members of the board shall be necessary to reverse any order, requirement, decision, or determination of any such administrative official or to decide in favor of the applicant on any matter upon which it is required to pass under any such ordinance or to effect any variation in such ordinance.