The Eagle will fly to some high spot and wait for the winds to come. When the storm hits, it sets its wings so that the wind will pick it up and lift it above the storm. While the storm rages below, the Eagle is soaring above it. Once he finds the wind of the storm, it stops flapping and uses the pressure of the ragging storm to soar.
The Eagle can do this because he is the only bird God created with the ability to lock its wings in fixed position which enables them to be at rest as it soars high above the storm clouds. They do not escape the storm, they simply rise above it..