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6.4: The Law of Sines

6.4: The Law of Sines. TSW be able to apply the Law of Sines to solve triangles, and understand which cases are ambiguous and which cases are unambiguous at an 85% mastery level as demonstrated by discussion and practice. A. b. c. C. B. a. The Law of Sines. In triangle ABC we have.

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6.4: The Law of Sines

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  1. 6.4: The Law of Sines TSW be able to apply the Law of Sines to solve triangles, and understand which cases are ambiguous and which cases are unambiguous at an 85% mastery level as demonstrated by discussion and practice.

  2. A b c C B a The Law of Sines In triangle ABC we have

  3. Case 1: ASA A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los Angeles, 340 mi apart. At an instant when the satellite is between these two stations, its angle of elevation is simultaneously observed to be 60o at Phoenix and 75o at Los Angeles. How far is the satellite from Los Angeles?

  4. C a B 25o c = 80.4 b 20o Case 2: SAA Solve the triangle.

  5. C b a B A c Case 3: SSA (One- solution)

  6. C b a B A c Case 3: SSA (Two- solutions)

  7. C b a B A c Case 3: SSA (No- solution)

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