As the hurricane reaches the Yucatan peninsula, it is steered to the north between the high and low. Picture again the two eggbeaters turning in opposite directions—one moving the air counterclockwise around the low and the other swirling the flow clockwise around the high. The hurricane is pulled north between the two whirlpools.
Where does it end up? The map below shows a computer model track for the eye of our hurricane. Because the winds between the low and high are blowing almost directly north, the hurricane goes over the border between Alabama and Mississippi, into western Tennessee, and then up through Illinois and Wisconsin before being pushed back to the east across Canada by the westerly winds on the northern edge of the high.
Remember that a hurricane is much larger than its eye, which is what the computer model forecasts, so the actual area affected by the hurricane would be much larger than the path indicated by the computer model track.
Of course in real life, the tricky part is that, while the hurricane is moving, so are the low and high pressure systems, as well as other weather systems around the entire earth. And other changes can be happening at the same time. For example, the hurricane might travel over a layer of colder water or into a region where the winds are much stronger. The low or high might strengthen or weaken. So, if you were the forecaster, you would have to decide whether the hurricane was going to stay on course, veer in a different direction, stall, weaken, or strengthen.