Hawaii moves 7.5cm closer to Alaska every year

The Earth’s crust is split into gigantic pieces called tectonic plates. These plates are in constant motion, propelled by currents in the Earth’s upper mantle. The hot, less-dense rock rises before cooling and sinking, giving rise to circular convection currents which act like giant conveyor belts, slowly shifting the tectonic plates above them. Hawaii sits in the middle of the Pacific Plate, which is slowly drifting north-west towards the North American Plate, back to Alaska. The plates’ pace is comparable to the speed at which our fingernails grow.

Here is a great answer from a platform i.e. Quora.com

It has to do with the movement of the plates that make up the “ring of fire.” The same movement has caused the Hawaiian Islands to move north and west, which over millions of years have created and separated each of the islands, as they have formed from the same volcanic rift area. The tiny, west-most island of Niihau is the oldest island that is still above water. When you look at a map, it's easy to see how the islands and the plate underneath are moving.

There is a similar movement of the plates under Alaska too. Basically, the plate that outlines the Aleutian Islands is being shoved under the one that more or less caps the planet, pushing t to the northwest. If you're interested, there is an exceedingly cool video on the Incorporated Research Institutions for Seismology (IRIS), under Alaska: Tectonics and Earthquakes