Moving the Gardener/Panda 'in a straight line' in Takenoko
The "straight line" is between tiles, not the precise position of the gardener. This isn't a miniatures wargame like Warhammer 40k; it's a tile-based abstract Euro.

Here are the diagrams of what a "straight line" means from the rulebook:


  

As you can see, the "straight line" limitation simply means that movement must be across shared edges of tiles, in a straight line, rather than "around the bend".