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3 marksTrigonometric Ratios (Acute Angles)

CSEC Mathematics · January 2010 · Paper 2 · Question 4(a)(ii)

Triangle LMN has LN = 12 cm, NM = x cm, and ∠NLM = θ°. Point K on LM is such that NK is perpendicular to LM, NK = 6 cm, and KM = 8 cm.

Calculate the value of θ.

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Other parts of this question

  1. 4(a)(i)Calculate the value of x.[2 marks]
  2. 4(b)(i)Measure and state, in centimetres, the distance from S to F on the map.[1 mark]
  3. 4(b)(ii)Calculate the distance, in metres, from S to F on the ACTUAL playing field.[2 marks]
  4. 4(b)(iii)a)Calculate his average speed in m/s, giving your answer correct to 3 significant figures.[3 marks]
  5. 4(b)(iii)b)Calculate his average speed in km/h, giving your answer correct to 3 significant figures.[3 marks]

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