A boat sails 160km from a harbour P on a bearing of 036° 60'. Q and then 200 km on a bearing of 125° 30' to another harbour R. What is the distance between P and R? What is the bearing of P from R?

:
A boat sails 150 km on a bearing of $042^\circ$ and 250 km due east. How far is the boat from the starting point?

Let O be the starting point, A be the position after the first leg, and B be the final position.

• OA = 150 km, bearing $042^\circ$.
• AB = 250 km, due east (bearing $090^\circ$).

Step 1: Determine the interior angle $\angle OAB$.
Draw a North line at O and A. The North lines are parallel.
The angle between the North line at O and OA is $42^\circ$.
The angle between the South line