The hat covers the top of the ear, but maybe.
An old felt hat covered it, supposedly to keep out the rain.
A hat covered the head wound he had received in the tunnel.
It is just a big hat covering the upper half to two thirds of the face.
My hat covers my head so that it cannot be seen.
Beetle is always seen with a hat or helmet covering his forehead and eyes.
Coarse clothes hung from a tall form; a flat hat covered the arrival's head.
A raccoonskin hat covered his head, the furry tall swinging behind him.
No hat covered a mass of wavy black hair that was streaked gray at the temples.
But let me point out that your absurd hat covers your ears.