The lens of the human eye inverts images onto the retina at the back of the eye. The triangles in the diagram, △ABC and △A′B′C′ , are similar. The length of segment BC is approximately 100 cm , and its corresponding side, segment B′C′ , has an approximate length of 2.5 cm . If segment AB has been measured as 30 cm , how tall is the inverted image of the object, represented by segment A′B′ , to the nearest hundredth of a centimeter?