Two identical plane mirrors meet along one edge, forming a 60∘ angle between their reflecting surfaces. A small luminous object is placed inside the wedge, 15cm from each mirror along a line that bisects the 60∘ angle.
Answer the following about the images produced.
(a) Using geometry, determine the total number of distinct images that can be observed, neglecting any obstruction by the object itself.
(b) For one of the images produced after two successive reflections (one from each mirror), determine its location relative to the vertex of the mirrors: specify its perpendicular distance from each mirror and its angular position measured from the bisector of the 60∘ angle.
(c) Explain why additional images beyond the number found in part (a) do or do not appear, referencing the symmetry of successive reflections.