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3 marksTrigonometric Ratios (Acute Angles)

CSEC Mathematics · May/June 2012 · Paper 2 · Question 3(b)(iii)

A ship started at port P, sailed 15 km due south to port Q, and then a further 20 km due west to port R. The diagram shows the initial position P and a compass rose.

Calculate the measure of angle QPR, giving your answer to the nearest degree.

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Other parts of this question

  1. 3(a)Copy and complete the Venn diagram below to show the number of students in the subsets marked y and z.[2 marks]
  2. 3(a)(ii)a)Write an expression in x to represent the TOTAL number of students in the survey.[1 mark]
  3. 3(a)(ii)b)Write an equation in x to represent the total number of students in the survey and hence solve for x.[2 marks]
  4. 3(b)(i)Copy the diagram and label it to show the points Q and R, and the distances 20 km and 15 km.[2 marks]
  5. 3(b)(ii)Calculate PR, the shortest distance of the ship from the port where the journey started.[2 marks]

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