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2 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · May/June 2009 · Paper 2 · Question 12(a)(i)a)

In this question, use π = 22/7 and assume the earth is a sphere of radius 6370 km. A diagram, not drawn to scale, shows a sketch of the earth with North and South Poles labelled N and S. Arcs representing circles of longitude 35°E and 15°W, and circles of latitude 0° and 60°N are drawn but not labelled.

Copy the sketch and label the arc which represents 60°N.

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Other parts of this question

  1. 12(a)(i)b)Copy the sketch and label the arc which represents 35°E.[2 marks]
  2. 12(a)(ii)a)Copy the sketch and insert the point J (60°N, 35°E).[2 marks]
  3. 12(a)(ii)b)Copy the sketch and insert the point K (60°N, 15°W).[2 marks]
  4. 12(b)(i)Calculate, to the nearest kilometre, the SHORTEST distance from J to the North Pole measured along the common circle of longitude.[3 marks]
  5. 12(b)(ii)Calculate, to the nearest kilometre, the SHORTEST distance from J to K measured along the common circle of latitude.[4 marks]
  6. 12(c)Calculate the latitude of H.[4 marks]

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