Can an eagle or a hawk see farther?

The eagle developed his keen eyesight through the process of natural selection.

In order to survive as a hunter, the eagle (as a species) developed good eyesight through evolution, so that he would be able to detect the smallest movement of his prey. Once he targets his prey, he swoops down to a much lower altitude and scoop up his intended supper before they are aware of the danger.

Eagles with poor eyesight didn't survive and likely not many of them lived long enough to breed.