How do I re-orient myself on the Executive Face?

Hint 1 of 5:

Try exploring, and you should eventually find the correct orientation.

Hint 2 of 5:

You want to first go to a different face.

Hint 3 of 5:

The "ladders" here lead to the Atlas Face.

Hint 4 of 5:

As you're facing both ladders, take the one on the left.

Hint 5 of 5:

Then, keep going forward on the Atlas Face until you reach the statue.  You
should hear someone yelling at you every time you go forward.