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3 marksSine and Cosine Rules

CSEC Mathematics · May/June 2006 · Paper 2 · Question 12(a)(i)

The diagram below, not drawn to scale, shows parallelogram EFGH in which EF = 6 cm, EH = 4.2 cm, and angle FEH = 70°.

Calculate the length of the diagonal HF

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Other parts of this question

  1. 12(a)(ii)Calculate the area of the parallelogram EFGH.[2 marks]
  2. 12(b)(i)a)Copy the sketch above, and draw and label two arcs to represent the Equator[2 marks]
  3. 12(b)(i)b)Copy the sketch above, and draw and label two arcs to represent the Greenwich Meridian.[1 mark]
  4. 12(b)(ii)a)Insert the points Y and M on your diagram.[2 marks]
  5. 12(b)(ii)b)Calculate, correct to the nearest kilometre, the circumference of the circle of latitude 41°N.[3 marks]
  6. 12(b)(ii)c)Calculate the shortest distance between Y and M measured along the circle of latitude 41°N.[3 marks]

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