I did arc sin 4.5/45 and 6 degrees to the right was the closest answer. This is assuming no cross wind, just navigational drift. Arc sin was made from a triangle of 4.5 to correct and remaining distance of around 45 NM.
However, you may ask to specify whether or not this is a cross wind issue. If it is, the effect of wind on the remaining track would have to be calculated from the point you were at and the new heading to your destination.
If the cause of the drift was unknown, 12 degrees right would also make sense.
But in real life this is where you would start looking for landmarks such as roads, terrain,
lakes etc. to help find your destination.
EDIT: correction without wind: point nose to 096 degrees (this is the direction to your
correction with wind: point nose to 102 degrees
We can see how this is a confusing question, as the CORRECTION in both cases is 6 degrees to the right. Because it is highly doubtful anyone would fly 084 the whole time before noticing the error, the most probable cause is wind drift. The correction is 12 degrees right from ORIGINAL heading and/or 6 degrees right from the NEW heading.
Even if I got this "wrong" on a test, it would be something remembered and learned from.