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Question Number 13329 by chux last updated on 18/May/17

$$\mathrm{A}\mathrm{surveyor}\mathrm{standing}\mathrm{at}\mathrm{a}\mathrm{point}\mathrm{X},$$$$\mathrm{sites}\mathrm{a}\mathrm{post}\mathrm{Y}\mathrm{due}\mathrm{east}\mathrm{of}\mathrm{him}\mathrm{and}$$$$\mathrm{a}\mathrm{tower}\mathrm{Z}\mathrm{of}\mathrm{a}\mathrm{building}\mathrm{on}\mathrm{a}$$$$\mathrm{bearing}\mathrm{of}046°.\mathrm{After}\mathrm{walking}\mathrm{to}\mathrm{a}$$$$\mathrm{point}\mathrm{W},\mathrm{a}\mathrm{distance}\mathrm{of}180\mathrm{m}\mathrm{in}\mathrm{the}$$$$\mathrm{south}-\mathrm{east}\mathrm{direction}\mathrm{he}\mathrm{observes}$$$$\mathrm{the}\mathrm{bearing}\mathrm{of}\mathrm{Z}\mathrm{and}\mathrm{Y}\mathrm{to}\mathrm{be}337°$$$$\mathrm{and}50°\mathrm{respectively}.$$$$$$$$\mathrm{calculate}\mathrm{to}\mathrm{the}\mathrm{nearest}\mathrm{meter}$$$$\left(\mathrm{i}\right)/\mathrm{XY}/$$$$\left(\mathrm{ii}\right)/\mathrm{ZW}/$$$$\left(\mathrm{iii}\right)\mathrm{if}\mathrm{N}\mathrm{is}\mathrm{on}/\mathrm{XY}/\mathrm{such}\mathrm{that}$$$$/\mathrm{XZ}/=/\mathrm{ZN}/,\mathrm{find}\mathrm{the}\mathrm{bearing}\mathrm{of}$$$$\mathrm{Z}\mathrm{from}\mathrm{N}$$$$$$$$$$$$$$$$\mathrm{Please}\mathrm{help}.\mathrm{Thanks}.$$$$$$

Commented by chux last updated on 20/May/17

$$\mathrm{someone}\mathrm{should}\mathrm{help}\mathrm{me}\mathrm{with}\mathrm{this}$$$$\mathrm{bearing}\mathrm{please}$$

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