Q298 · Practice questionTechnology-activeComplex familiar6 marks
QUESTION 298 (6 marks)
Two kayakers leave jetty . Kayaker travels km on a bearing of and kayaker travels km on a bearing of .
a)[3 marks]
Determine their separation, to km.
b)[3 marks]
Determine the bearing of from , to the nearest degree.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
a) km. b) degrees, written as a three-digit bearing.
Worked solution
a) The included angle is . Thus km.
b) Use east and north coordinates relative to . , . The displacement from to is westwards and northwards. Its bearing is .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Determines the included angle.
a) Applies the cosine rule.
a) Gives the rounded distance.
b) Determines appropriate horizontal components.
b) Resolves the direction from C to B.
b) Gives the correct three-digit bearing.
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