A ship, A is travelling due east at 24 km/h. A second ship, B, travelling at 33 km/h is first sighted 20 km due south of A. From A the ship B appears to be moving north east.

Find

(i) the direction in which B is actually moving

there are a few ways to do this. the easiest is to set up a triangle.

so using the sin rule. 33/sin45 = 24/sinx when i solve for x i get 30.1 degrees. the answer at the back of the book is 14.1 degrees. i thought i was doing everything right