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6 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · January 2006 · Paper 2 · Question 12(a)(iii)

Assume the earth is a sphere of radius 6 370 km. The diagram shows a sketch of the earth with the north pole, N, and the south pole, S, labelled. The four arcs on the diagram represent the equator, the Greenwich Meridian, latitude 6°N and latitude 52°N. Sketch the diagram and label the equator.

Sketch the diagram and label latitude 52°N.

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Other parts of this question

  1. 12(a)(i)Sketch the diagram and label the equator.[6 marks]
  2. 12(a)(ii)Sketch the diagram and label the Greenwich Meridian.[6 marks]
  3. 12(a)(iv)Sketch the diagram and label latitude 6°N.[6 marks]
  4. 12(b)(i)Show on your diagram the position, L, of London and A, of Accra.[2 marks]
  5. 12(b)(ii)Calculate, to the NEAREST kilometre, the shortest distance between London and Accra along their common circle of longitude. Use π = 3.14.[4 marks]
  6. 12(c)(i)Show on your diagram a possible point of location of Kyle, K.[1 mark]
  7. 12(c)(ii)Calculate the radius of the circle of latitude on which K lies.[2 marks]

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