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A mining company surveyor left point A and walked in a straight line, roughly North-East. marking his track with pegs. Another surveyor started from a point B 15 km due North and travelled on a bearing 140°T, 13 km until meeting the first surveyor at a point C.

Draw a clearly labelled diagram showing points A, B and C and the information given.

Find the distance AC, travelled by the first surveyor, correct to 2 decimal places.

Find the bearing AC, travelled by the first surveyor

The triangle ABC is to be enclosed within fencing.
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Find the total length of fencing required, correct to two decimal places.

the fencing costs $12 000 per kilometre, find the cost of fencing to the nearest thousand dollars.

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