Sorry, I don't understand the problem . . . are there typos?
A reconnaissance airplane leaves its airport and flies in a direction of 85°.
Because of bad weather, it returns to another airport 230km to the north of its home base.
For the return, it flies in a direction of 283 degrees.
What is the total distance flown?
I assume that a direction of 85° is a bearing, measured CW from North.
So the plane flies from to .
: o B
: 85° *
Then it flies to airport , 230 km to the north of (but not directly north).
230 * *
* o B
The return is . . . in a southwesterly direction.
But we are told that the return is at a heading of 285°,
. . which is to the northwest . . . ??