1. Imagine the lamp as the sun, the sphere as the moon and your head as the Earth. Your eyes are in Los Angeles. Move the moon sphere around your head and notice how the illuminated part seems to change shape. Can you make a crescent moon shape? What orientation is required of the lamp, you and the sphere for you to see a crescent?
2. Using the sphere and lamp as your model, what is the orientation of Earth, Moon and Sun when there is a full moon? (Sketch the orientation below in top view and indicate which portion of the Earth and Moon are shaded.)
3. Is there an orientation where the side of the Moon being illuminated is not visible from Earth? If so, describe; if not, explain.
4. Find an orientation where half of the side of the Moon facing the Earth is illuminated by the sun. How many orientations can you find? Sketch them in top view.
5. Recall that your nose is at the longitude (i.e., the east-west position) of L.A. When it is noon, which way is your nose pointing? Which way is it pointing at midnight? Illustrate your answer with a top view sketch of the Earth and Sun.
6. The sun sets in L.A. about 6pm on average during the year. Sketch the direction you are facing relative to the lamp-sun at sunset for your nose. On your sketch, indicate where on your head-Earth it is 6pm, midnight, 6am and noon.