Sine Rule (Part 4)

The applet below will help explain the sine rule and its difficulties. Read the directions carefully, and then answer all questions below.
Question 1: Draw the final labeled diagram (with circle) in your notebooks, labeling point(s) C. Question 2: How many different places can point C be, and therefore, how many different triangles ABC can we create, where AB = 10 cm, BC = 12 cm, and angle CAB is 30 degrees? (Careful!)