The phrase "acknowledge the depth" is correct and usable in written English.
You can use it when discussing the importance or significance of a particular issue, feeling, or situation that requires recognition of its complexity or intensity.
Example: "In order to move forward, we must first acknowledge the depth of the challenges we face."
Alternatives: "recognize the complexity" or "appreciate the intensity".
Unwilling to acknowledge the depth of Tibetan resentment, China looks doomed to repeat its mistakes.
In addition to breadth, companies and institutions must acknowledge the depth of their social media friends, followers and subscribers.
Baseball was notoriously slow to acknowledge the depth of the problem, and the players union long resisted drug testing.
Sins so terrible, so unimaginable that if, or when, we finally acknowledge the depth of our complicity, we will be changed forever.
The economic and psychological drive provided by those tasks cannot be underestimated, even as we acknowledge the depth of the tragedy.
It is past time for Europe's leaders to acknowledge the depth and breadth of the euro-zone crisis and the need for real solutions.
Certainly, Spanish officials were slow to acknowledge the depths of the problem.
As Anil Kashyap of the University of Chicago points out, one reason Japan was so loth to acknowledge the depths of its banking problems was the knowledge that a banking clean-up would require a large-scale restructuring of Japanese firms which, in turn, would throw many people out of work.
Campbell was later fired for what she alleges was a challenge to Abovitz to "acknowledge the depths of misogyny in Magic Leap's culture and take steps to correct a gender imbalance that negatively affects the company's core culture and renders it so dysfunctional it continues to delay the launch of a product that attracted billions of investment dollars," according to the suit.
Early last year, the company's former VP of Marketing Tannen Campbell sued the company for gender discrimination after she was fired when she "challenged Magic Leap's CEO, Rony Abovitz, to acknowledge the depths of misogyny in Magic Leap's culture and take steps to correct a gender imbalance that negatively affects the company's core culture," the lawsuit alleged.
Campbell was later fired for what she alleges was a challenge to Abovitz to "acknowledge the depths of misogyny in Magic Leap's culture and take steps to correct a gender imbalance that negatively affects the company's core culture and renders it so dysfunctional it continues to delay the launch of a product that attracted billions of investment dollars," according to the suit.
