The owner of a tree on private property overhanging any street or right of way in the City shall trim the branches of such tree so that such branches do not obstruct the light from any street lamp or obstruct the view of any street intersection and so that there is a clear space of at least ten feet above the surface of the street or right of way. Such owner shall remove all dead, diseased or dangerous trees, or broken or decayed limbs which constitute a menace to the safety of the public. The City may trim a tree on private property when it interferes with the proper spread of light along the street from a street light or interferes with the visibility of a traffic control device or sign, such trimming to be confined to the area immediately above the right of way.