trigonometry
posted by lindsay .
a ship travels 8km due north then 7km on a bearing of 070 degrees
1. draw a diagram to represent the information
2. calculate the distance and bearing of the ship from its starting point

ships travel on headings, not bearings.
Anyway, you draw the diagram.
Starting from (0,0), going N puts you at (0,8)
Then, 7 km at 70° moves you another (7cos70°, 7sin70°) = (2.39,6.58), leaving you at (2.39,1.42)
Final distance is 2.78, on a bearing of arctan(1.42/2.39) = 30.7° from (0,0)