1. Warm Up
Ship A is 72 miles from a lighthouse that is on the shore. The ships bearing from the lighthouse is S 15° E. Ship B is 81 miles from the same lighthouse. Its bearing from the lighthouse is N 52° E. Find the distance between the two ships.

2. The Law of Sines and the ambiguous case…

3. What is the ambiguous case?

4. How do I determine how many triangles are possible?
a < height
a = height
a > height and a < b
a > b

5. How many triangles can be created with the given measurements?
A = 35o, c = 20, a = 16
P = 50o , p = 45, r = 62

6. YOUR TURN
How many triangles can be created with the given measurements?
A = 58o, a = 4.5, b = 12.8
B = 58o, b = 11.4, c = 12.8
C = 110o, c = 125, a = 100

7. Solve the triangle(s) or state that one does not exist.
D = 42o, e = 12, d = 22

8. Solve the triangle(s) or state that one does not exist.
R = 41º, r = 3.3, q = 5.4

9. Solve the triangle(s) or state that one does not exist.
B = 56.3º, a= 8.3, b = 7.6

10. Summary
To solve a triangle given SSA, I begin by …
If the triangle has 2 solutions, I will determine the solution for the second triangle by…