Question 61155
Nothing wrong so far. The car is still travelling along the road however so it will get closer to the landmark.
As you obviously know what you are doing I will only give you a general idea rather than solve it all for you.

Use the diagram you already have to find how far the car was when it started travelling from the landmark (9.68 miles).
The car will be closest when the landmark is due north. Draw a new diagram using the starting position of the car (which is 9.68 from the landmark) to get a right angle triangle. This will result in the answer of 4.55 miles.