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Four boats P, Q, R and S are anchored on a bay such that boat Q is 180 m on a bearing of 075° from P. Boat R is 240 m on a bearing of 165° from Q. Boat S is 185 m to the south of P and due west of R.
(a) Draw a sketch diagram to show the positions of P, Q, R and S.
(b) Without using scale drawing, calculate
(i) the distance PR.
(ii) to 3 significant figures the bearing of P from R.
(a) Calculate to the nearest whole number the distance RS.