I am not sure what the second bearing is for this question.
In an orienteering race, the first checkpoint is $500~\text{m}$ from the start and on a bearing of $030^{\circ}$. The second checkpoint is $400~\text{m}$ from the first checkpoint and is $600~\text{m}$ from the start. Find, to the nearest degree, the two possible bearings of checkpoint 2 from the start.
I worked out the first bearing and got 71°.
The answers to this question are 71° and 349°
This is my diagram:
The angle next to 30° (for the first checkpoint) is 53°
I asked another person how to do it and he responded by saying that the 2nd checkpoint can be on the left or right of the first checkpoint. In my diagram, I only found the bearing by putting the second checkpoint on the right of the first.
This is the diagram of how he did it.