The phrase "acknowledged the extent" is correct and usable in written English.
You can use it when discussing the recognition or admission of the degree or scope of something, often in a formal or analytical context.
Example: "The committee acknowledged the extent of the challenges faced by the community in the aftermath of the disaster."
Alternatives: "recognized the magnitude" or "admitted the scope".
Until recently, though, the agency hasn't publicly acknowledged the extent of its role, which was code named TPAJAX.
Despite a good deal of ambivalence, especially when it came to prosecuting alleged war criminals, Latvia acknowledged the extent of local collaboration with the Nazis.
Why was I the only one at the office to find this strange?" Kauffmann thinks that, until the "wake-up call" of Strauss-Kahn's arrest, younger French feminists hadn't really acknowledged the extent of their own acceptance of discrimination.
"The committee is gravely concerned that the Holy See has not acknowledged the extent of the crimes committed, has not taken the necessary measures to address cases of child sexual abuse and to protect children, and has adopted policies and practices which have led to the continuation of the abuse by and the impunity of the perpetrators," it wrote.
On Thursday, when the government acknowledged the extent of the bungling and announced that it would be adding 3,500 additional troops to the 13,500 troops already committed to security duties at the Games, it offered assurances that the security for the 17 days of competition would not be compromised.
It complained that the Holy See had not acknowledged the extent of crimes committed and had not taken the measures necessary to address cases of child sexual abuse and to protect children.
They must be made to acknowledge the extent of the problem and take responsibility".
But to avoid acknowledging the extent of American military undertakings is to implicitly condone them.
Unlike Germany, Japan has generally failed to acknowledge the extent of its wartime atrocities.
The first step, he told me in a recent conversation, is to acknowledge the extent of the problem.
Iraq's leaders, apparently fearful of public reaction, have refused to acknowledge the extent of the danger.
