BEARING KCSE 2017 | 121/1 QUESTION 21

The corner 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 degrees. D is 7km from C on a bearing of 300 degrees.
(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 kilometers (2 marks)
(iii) The perimeter of the ranch in kilometers (3 marks)