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2 marksTrigonometric Ratios (Acute Angles)

CSEC Mathematics · 2021 · Paper 2 · Question 3(a)(ii)

The diagram shows the triangle PQR in which angle QPR = 62^\circ, angle PQR = 90^\circ and PR = 11\text{ cm}.

Calculate the length of the side RQ.

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Other parts of this question

  1. 3(a)(i)Calculate the size of angle PRQ.[1 mark]
  2. 3(b)(i)Triangle X is mapped onto Triangle Y by a reflection. State the equation of the mirror line.[1 mark]
  3. 3(b)(ii)Describe fully the transformation which maps Triangle X onto Triangle Z.[2 marks]
  4. 3(b)(iii)On the diagram on page 10, translate Triangle Y using the vector \begin{pmatrix}-7 \\ 1\end{pmatrix}. Label this image V.[1 mark]
  5. 3(b)(iv)On the diagram on page 10, enlarge Triangle X about the centre, C(0, 0), and scale factor \frac{1}{2}. Label this image W.[2 marks]

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