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Exam-Style Question on Bearings

A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 232. This question is typical of the type of question in a GCSE Higher examination. The use of a calculator is allowed.

News is spreading of Pokémon sightings in Greenleaf Park. There is a Bulbasaur (B)on a bearing of 063o from Ayden and a Charmeleon (C) on a bearing of 110o from Ayden.

(a) Draw a sketch (not to scale) showing the positions of Ayden and the Pokémon using the letters A, B and C to indicate the locations of the sightings. Mark the distances AB = 100m and AC = 130m on your diagram.

(b) Calculate the distance BC giving your answer to three significant figures.

(c) Find the bearing of B from C giving your answer to the nearest integer.

(d) Find the bearing of C from B giving your answer to the nearest integer.

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