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.

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Presentation transcript:

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.

The Law of Sines and the ambiguous case…

What is the ambiguous case?

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

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

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

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

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

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

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…