A fishing boat travels from a harbour on a bearing of 140 degree for 60 km to an island how far due east does it travel?

Answer 1

60 cos(90-140)° = 60 cos50° = 38.56 km

Actually, the bearing of the island from the harbour is 140°
The heading of the ship was thus set to 140°

Answer 2

d = 60km[140o] Cw from +y-axis.
X = 60*sin140 = 38.56 km.