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CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 1 · Question Q29

The distance, d metres, of an arm of a shaping machine from its starting position can be modelled by the equation d = 12\cos\theta + 5\sin\theta. The MAXIMUM distance, in metres, from the starting point is

  1. (A)5
  2. (B)12
  3. (C)13
  4. (D)17

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