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IB Mathematics: Applications and Interpretation SL · 12.10: Geometry & Trigonometry · 12.10.4

Rules of trigonometry: mixed practice Problem set B Answers

Skills

    1. (a) (6, 0) and (0, 15)
    2. (b) 68.2°
    3. (c) Both lines pass through (6, 0)
    4. (d) 48.4°

  2. x = 7.87 cm

  3. θ = 36.5°

  4. BC = 7.31 cm

    1. (a) 55.8°
    2. (b) 26.0 cm²

In context

    1. (a) y = 115 m
    2. (b) d = 103 m
    1. (a) x = 7.09 km
    2. (b) 43.9°
    1. (a) x = 3.14 m
    2. (b) y = 2.77 m

Stretch

  1. BC = 16.0 cm

    1. (a) 55.6°
    2. (b) 7.02 cm

  3. x = 9.81 cm

    1. (a) h = d tan 28° ÷ (tan 31° − tan 28°)
    2. (b) h = 30.8 m
    1. (a) PO = h ÷ tan 35° and OQ = h ÷ tan 56°
    2. (b) h = 42.8 m

jmaths.xyz · AI SL · 12.10.4 Mixed practice: rules of trigonometry