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  • 16-01-2021
  • Mathematics
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A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.

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  • 18-01-2021

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°

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