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CSEC Mathematics · May/June 2006 · Paper 2 · Question 6(a)

A man walks x km, due north, from point G to point H. He then walks (x + 7) km due east from H to point F. The distance along a straight line from G to F is 13 km. The diagram below, not drawn to scale, shows the relative positions of G, H and F. The direction of north is also shown.

Copy the diagram and show on the diagram, the distances x km, (x + 7) km and 13 km.

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Other parts of this question

  1. 6(b)From the information on your diagram, write an equation in x which satisfies Pythagoras' Theorem. Show that the equation can be simplified to give x² + 7x - 60…[3 marks]
  2. 6(c)Solve the equation and find the distance GH.[2 marks]
  3. 6(d)Determine the bearing of F from G.[4 marks]

More practice: the rest of this paper · more Relating Physical World to Geometric Objects questions · all CSEC Mathematics past papers