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Question Number 52520 by byaw last updated on 10/Jan/19

Please help   John travels a distance of 24km  from twon A on a bearing of 060° to  town B. He then travels a distance  of 18km to town C, which is 30km  east of town A.  (i) what is the bearing of town C from         town B?  (ii) calculate the bearing of town A           from town C?

$$\mathrm{Please}\:\mathrm{he}{lp} \\ $$$$\:\mathrm{John}\:\mathrm{travels}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{24km} \\ $$$$\mathrm{from}\:\mathrm{twon}\:\mathrm{A}\:\mathrm{on}\:\mathrm{a}\:\mathrm{bearing}\:\mathrm{of}\:\mathrm{060}°\:\mathrm{to} \\ $$$$\mathrm{town}\:\mathrm{B}.\:\mathrm{He}\:\mathrm{then}\:\mathrm{travels}\:\mathrm{a}\:\mathrm{distance} \\ $$$$\mathrm{of}\:\mathrm{18km}\:\mathrm{to}\:\mathrm{town}\:\mathrm{C},\:\mathrm{which}\:\mathrm{is}\:\mathrm{30km} \\ $$$$\mathrm{east}\:\mathrm{of}\:\mathrm{town}\:\mathrm{A}. \\ $$$$\left(\mathrm{i}\right)\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{bearing}\:\mathrm{of}\:\mathrm{town}\:\mathrm{C}\:\mathrm{from} \\ $$$$\:\:\:\:\:\:\:\mathrm{town}\:\mathrm{B}? \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{bearing}\:\mathrm{of}\:\mathrm{town}\:\mathrm{A}\: \\ $$$$\:\:\:\:\:\:\:\:\mathrm{from}\:\mathrm{town}\:\mathrm{C}? \\ $$

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