A boat moves from a point A on the bearing 150¡ã to another point B 10km away.it then changes direction on being south 45¡ã east for a distance of 12km to another point C.

Question

1.. How far is the boat from the starting.
2.. What is the bearing of C from A.

Answer 1

I see a skinny triangle with sides 10 and 12 with an angle of 165° between them
If d is the distance between A and B
d^2 = 10^2+12^2 - 2(10)(12)cos165
...
d = ...

Once you have d, use the sine law to find the angle of the triangle at A
sinA/12 = sin165/d
...