Appeals to the Board may be brought by any person aggrieved or by any officer of the City affected by any decision of the Zoning Administrator. Such appeal shall be filed within sixty days of the decision of the Zoning Administrator which is being appealed. Such appeal shall be filed in writing with the Zoning Administrator. The Zoning Administrator shall forthwith transmit the notice of appeal and all papers constituting the record of the action appealed from to the members of the Board of Adjustment.