two boats, A and B, left a port C at the same time on different routes. B travelled on a bearing of 150 degree and A travelled on the north side of B. when A had travelled 8 km and B had travelled 10 km , the distance between the two boats was found to be 12 km. show the diagram and calculate the bearing of A`s route from C

Question

two boats, A and B, left a port C at the same time on different routes. B travelled on a bearing of 150 degree and A travelled on the north side of B. when A had travelled 8 km and B had travelled 10 km , the  distance between the two boats was found to be 12 km. show the diagram and calculate the bearing of A`s route from C

Steve · Answer

well, the angle θ between the two boats' headings (not bearings!) can be found via the law of cosines: 12^2 = 8^2+10^2 - 2*8*10 cosθ