Question

An aircraft flies 400 km from a point O on a bearing of 025* and then 700 km on a bearing of 080* to arrive at B.
a)how far north of O is B?
b)how far east of O is B?
c)find the distance and bearing of B from O?

Answer 1

you can find distance x using law of cosines
\[x^2 = 400^2 +700^2 - 2(400)(700) \cos 125\]
you can find how far north using cosines
\[\rightarrow 400 \cos 25 + 700 \cos 80\]

how far east using sines
\[\rightarrow 400 \sin 25 + 700 \sin 80\]

Answer 2

i think you can use law of sines to find the bearing