1. Keanu is 47 years old, and the amplitude of accommodation in his left eye is about one standard deviation above average for his age. From now on, we concentrate exclusively on his left eye. When Keanu's eye is unaided by vision correction, he can focus on objects about 40 cm in front of it, but not closer. He has a Maximum Accommodation of 5 Diopters.

He has a minimum power of 57.5 D, and an eye sphere correction +2.5D. The radius of curvature of the back surface of the contact is 8.8 mm. His contact lens has an index of refraction of 1.65.

1.8. Consider the near point distance of Keanu's corrected vision. Suppose that we place an object at precisely that distance in front of his corrective contact lens without placing it on his eye (i.e. we're just considering how only the contact will affect light rays that enter it). Where would the corresponding image be? Determine the answer both numerically and independently using a ray diagram and ray tracing rules. Based where the contact lens makes it seem like light is coming from, explain how it makes sense that this lens enables Keanu to see objects closer than without the contact lens