The comer points A, B, C and D of a ranch are such that B is 8km directly East of A and C is 6km from B on a bearing of 30°. D is 7km from C on a bearing of 300°. (a) Using a scale of 1cm to represent 1km, draw a diagram to show the positions of A, B, C and D. (4 marks) (b) Use the scale drawing to determine: (i) the bearing of A from D; (1 mark) (ii) the distance BD in kilometres.

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The comer points A, B, C and D of a ranch are such that B is 8km directly East of A and C is 6km from B on a bearing of 30°. D is 7km from C on a bearing of 300°.

(a) Using a scale of 1cm to represent 1km, draw a diagram to show the positions of A, B, C and D.

(b) Use the scale drawing to determine:

(i) the bearing of A from D;

(ii) the distance BD in kilometres.

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