A thick lens has an index of refraction of 1.60. It is 4-cmthick and is surrounded by air. The radius of curvature of thefront surface is 5 cm, and the radius of curvature of the backsurface is 12 cm. A 1-cm tall object is placed to the left of thefirst surface. At what angle above the optic axis should a raystrike the front side of the lens 0.5 cm above the optical axis sothat it emerges from the back side of the lens traveling parallelto the optical axis? Use matrix techniques.