Any trees on private property or within a lot line which overhang any sidewalk, alley, street, or public place, and which, in so overhanging, endangers life or property, may be cut and/or trimmed by the City and the cost thereof assessed to the adjoining property after first giving the property owner upon which trees are situated ten (10) days notice to cut or trim said overhanging branches, and the property owner’s failure to comply with said notice. If there is immediate danger of injury by reason of overhanging branches, City may cut or trim said branches without notice to the property owner.