Quelpr
8 marksRelating Physical World to Geometric Objects

CSEC Mathematics · May/June 2004 · Paper 2 · Question 12(b)(i)

In this question, use π = 3.14 and assume the earth to be a sphere of radius 6 370 km. The diagram shows a sketch of the earth with the Greenwich Meridian and the Equator labelled. The towns A and B are both on the circle of latitude 24° N. The longitude of A is 108° E and the longitude of B is 75° E.

Copy the sketch above of the earth and insert the points A and B on your diagram.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 12(a)(i)Express in fractional or surd form the value of cos θ.[7 marks]
  2. 12(a)(ii)Show that the area of triangle CDE is 150√3 square units, where CD = 30 units and DE = 20 units.[7 marks]
  3. 12(a)(iii)Calculate the length of the side EC.[7 marks]
  4. 12(b)(ii)a)Calculate, correct to the nearest kilometre, the radius of the circle of latitude 24° N.[8 marks]
  5. 12(b)(ii)b)Calculate, correct to the nearest kilometre, the shortest distance between A and B, measured along the circle of latitude 24° N.[8 marks]

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