Problem The distance from the Sun to Earth is approximately 149,600,000 kilometers. The distance from the Sun to Mercury is approximately 57,910,000 kilometers. The elongation angle, , is the angle formed between the line of sight from Earth to the Sun and the line of sight from Earth to Mercury. Suppose that the elongation angle for Mercury is 15. Use this information to answer the questions below.

Directions: Answer each of the following: a) Use the information from above to find the possible distances between Earth and Mercury

b) Draw a picture representing the situation described in the problem. Explain how the information you identified in the problem and the information you gathered about our solar system helped you with your sketch.

c) State the theorem(s) and formula(S) used to solve the problem. If the formula is applicable to multiple distinct situations, state which situation is described in the problem. d) Use the formula(s) to solve the problem. Show all your work with explanations if necessary.

e) State your conclusion and explain your solution(s)/conclusion by stating how the information identified/gathered led to your choice of theorem(s)/formula(s) used to solve the problem. Were there multiple solutions or just one? Did the solution(s) make sense?