"such a degree" is correct and usable in written English.
You can use it to emphasize the amount of something. For example: "He showed such a degree of courage in the face of danger".
"They're stylized to such a degree that she almost makes an icon out of your face".
To such a degree that it seemingly rules out any future hope of rapprochement or reconciliation.
We're going fuck, fuck, fuck, we have misjudged this to such a degree".
He intimidated the man to such a degree that he did get it back.
Such a degree of control over matters of faith is highly unusual in the Muslim world.
The walls receding to such a degree that they might as well not have been there.
They echo Steinbeck's George and Lennie, to such a degree, that the effect is startling.
Rarely does a government bill have such a degree of opposition to legislation.
Never has there been such a degree of control from City Hall".
It's sad to observe that we are capable of changing the planet to such a degree".
To obtain such a degree of flexibility, the Bush administration had to make concessions.
