An appeal to the district court from any decision, ruling, judgment or order of said county board of adjustment may be taken by any person or persons, firm or corporation, jointly or severally, aggrieved thereby, or any department, board or official of government by filing with the clerk of said board within ten (10) days a notice of such appeal. No bond shall be required for such appeal, but costs may be required in the district court as in other cases. Upon filing of such notice the clerk of said board shall forthwith transmit to the clerk of the district court the originals or certified copies of all papers constituting the record in such case, together with the order, judgment or decision of said board. Said cause shall be tried de novo in the district court and said court shall have the same power and authority as the county board of adjustment, together with all other powers of the district court in law or in equity. An appeal to the Supreme Court from the decision of the district court shall be allowed as in other cases.