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IB Mathematics: Applications and Interpretation HL · 12.10: Geometry & Trigonometry · 12.10.13

The sine rule: the ambiguous case Problem set B Answers

Skills

  1. B = 41.8°

  2. B = 35.5°

  3. B = 59.7° or 120°

    1. (a) B = 72.7° or 107°
    2. (b) C = 55.3° or 20.7°
    1. (a) 0 triangles
    2. (b) 2 triangles
    3. (c) 1 triangle
    4. (d) 1 triangle

In context

    1. (a) L = 46.4° or 134°
    2. (b) 16.4 km or 3.28 km

  2. 44.1°

Stretch

  1. 11.6 < x < 18

    1. (a) B = 71.0° or 109°
    2. (b) 57.6 cm² and 35.9 cm²

jmaths.xyz · AI HL · 12.10.13 The sine rule: the ambiguous case