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Four towns are situated in such a way that town Q is 240 km due east of town P. Town R is 100 km due south of town Q and on a bearing of 112° from P. The fourth town S is 225 km on a bearing of 202° from P.
a) Draw a sketch diagram showing that positions of towns P, Q, R, and S.
b) Find the size of angle PQR and angle RPS.
c) Without using scale drawing, calculate to the nearest whole number, the distance of:
i. town R from town P
ii. town S from town R
d) Determine the bearing of P from R