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The boundaries PQ, QR, RS and SP of ranch are straight lines such that: Q is 16km on a bearing of #040^0# from P, R is directly south of Q and east of P and S is 12km on a bearing of #120^0# from R.
(a) Using a scale of 1cm represent 2km, show the above information in a scale drawing.
(b) From the scale drawing determine
(i) The distance, in kilometers of P and S
(ii) The bearing of P from S
(c) Calculate the area of the ranch PQRS in square kilometers.