In exercising the above-mentioned powers and duties, the Board of Appeals may, in conformity with Town Law, reverse, affirm or modify the order, requirement, decision or determination appealed from and shall make such order, requirement, decision or determination as ought to be made in the case referred to it. To that end, the Board shall have all the powers of the Enforcement Officer from whom the appeal is made. The concurring vote of a majority of the Board of Appeals shall be necessary to reverse any order, requirement, decision or determination of the Enforcement Officer or to decide in favor of the applicant any matter upon which such Board is required to pass.