Right of appeal. An applicant aggrieved by a ruling of the inspector of buildings may appeal to the Board of Trustees, provided that a notice of appeal together with a transcript of the action appealed from be filed with the Clerk of the Board of Trustees and with the inspector of buildings within 10 days of the date of the action. The Board of Trustees shall act on such appeal at its next regular meeting or at a special meeting, due notice of which shall be given to the applicant.