A robot turtle is programmed using bearings to follow a path. He heats 5 m at a bearing of 110 degrees, then 8 m at a bearing of 210 degrees then 9 m at a bearing of 260 degrees.
How far is the turtle from its starting point and what bearing will retrun the turtle to its starting position?

This is what is called a traverse in surveying. The bearings can be thought of as azimuths

turning clockwise from due north(y-axis).

The first point is 110 degrees and ad distance of 5 meters. We find these distances and add

them to our starting point we can call (0,0) at the origin.




The coordinates of the first point is (4.7,-1.71)

Now, do the other and add them to the last point coordinates.




Continue until you get to the end.

If you do the rest correctly, you will get an angle of 38.67 degrees and a distance of

13.07 meters back to the starting point from the last point.