AQA Further AS Paper 1 Specimen — Question 7 4 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
SessionSpecimen
Marks4
TopicVectors Introduction & 2D

7 A lighting engineer is setting up part of a display inside a large building. The diagram shows a plan view of the area in which he is working. He has two lights, which project narrow beams of light. One is set up at a point 3 metres above the point \(A\) and the beam from this light hits the wall 23 metres above the point \(D\). The other is set up 1 metre above the point \(B\) and the beam from this light hits the wall 29 metres above the point \(C\).
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  1. By creating a suitable model, show that the beams of light intersect. 7
  2. Find the angle between the two beams of light.
    [0pt] [3 marks]
    7
  3. State one way in which the model you created in part (a) could be refined.
    [0pt] [1 mark]