There is a light pole on one bank of a small pond. You are standing up while fishing on the other bank. After reflection from the surface of the water, part of the light from the bulb at the top of the pole reaches your eyes. Use a ray diagram to help find a point on the surface of the water from where the reflected ray reaches your eyes. Determine an expression for the distance from this point on the water to the bottom of the light pole if the height of the pole is H, your height is h, and the distance between you and the light pole is l.

To correct the vision of a hyperopic eye, a corrective lens should enable the wearer to focus on objects that are as close as the ideal near point. One way to think of this is that the corrective lens should take an object located at the ideal near point and create an image of it at the wearer's near point. (Remember that the wearer's eye is a short distance behind the corrective lens.) Draw a ray diagram showing this situation and find the necessary focal length of the lens in terms of the wearer's near point, the ideal near point, and the distance between the corrective lens and the eye.