Two small boats leave an island at the same time. Boat A travels due North for 21 miles and Boat B travels due West for 18 miles. How far apart are the boats and what is the bearing of boat A from boat B? How about the bearing of boat B from boat A?

Just use Pythagoras to find the distance between the boats.

For the bearing from B to A,

tan^{-1}(\frac{18}{21})

A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 28km on a bearing of 154 degrees. How far is she then from her base camp and what is her bearing from it?