1. The problem states that two divers are underwater, one at a depth of 32 meters, and the other diver's depth $x$ satisfies the equation $$|x - 32| = 11.$$ 2. This is an absolute value equation. The absolute value $|a| = b$ means $a = b$ or $a = -b$. 3. Applying this rule, we have two cases: $$x - 32 = 11$$ $$x - 32 = -11$$ 4. Solve each equation for $x$: For $x - 32 = 11$: $$x = 11 + 32$$ $$x = 43$$ For $x - 32 = -11$: $$x = -11 + 32$$ $$x = 21$$ 5. Therefore, the other diver is at a depth of either $21$ meters or $43$ meters.