How to pass a target at a specified range from it

[Pisces]

Your method seems good from a math/vector analysis point of view. Except for one thing I don't really understand. In step 2 you say to make the distance line 14km (or whatever unit), but the range to the target/convoy was stated to be 10 km. What's up with the extra 4 km? Is it the size of the convoy that you took into account (without telling)?

If you for some reason decided to double the convoy speed (7kts becomes 14km) then it wouldn't make sense.

Also, a tip for those that want to draw this on the game map. To copy that tangent line: make a large circle with the radius arrow overlaying the tangent line. (large enough to extend beyond the ownship speed circle) Now grab the center of the circle and drag it to the end of the target course/speed line. Now the circle radius is the (light) blue tangent line.