A man sets out to travel from A to c via b from a he travels a distance of 8 km on a bearing N 30 E to b from b he travels a further 6km due east

a. calculate how far c is

i north of A

ii east of a

b hence or otherwise calculate the distance ac correct to 1 decimal place
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1 Answer

(a) (i) AP=8cos30=4√3=6.9km approx. This is distance north of A.

(a)(ii) PC=8sin30+6=4+6=10km. This is distance east of A.

(b) AC=√(AP²+PC²)=√(48+100)=√148=12.2km approx.

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