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7 marksSine and Cosine Rules

CSEC Mathematics · January 2004 · Paper 2 · Question 12(b)(i)

TL is a vertical tower, and LMN is a straight line on a horizontal plane. The angles of elevation of T from M and N are 65° and 42° respectively. The distance of M from N is 15 m. The diagram shows a vertical line TL and a horizontal line LMN. Angles TLM and TLN are not given directly, but angles of elevation from M and N to T are 65 and 42 degrees respectively. MN = 15m.

Using triangle MNT, show that the length of MT to the nearest metre, is 26 m.

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Other parts of this question

  1. 12(a)(i)Calculate, giving reasons for your answers, the size of angle BEO.[8 marks]
  2. 12(a)(ii)Calculate, giving reasons for your answers, the size of angle BCE.[8 marks]
  3. 12(a)(iii)Calculate, giving reasons for your answers, the size of angle BAE.[8 marks]
  4. 12(a)(iv)Calculate, giving reasons for your answers, the size of angle BOE.[8 marks]
  5. 12(b)(ii)Hence, calculate the height of the tower, TL.[7 marks]

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