You go fishing with a rod that has x meters of line. You see a fish that is 3 meters south

You go fishing with a rod that has x meters of line. You see a fish that is 3 meters south and 2 meters west from your position. What must be the minimum length of line you need to catch the fish?

a²+b²=x²

2²+3²=x²

4+9=x²

13=x²

x=√13