Step 1 :The problem provides the volume, length, and width of a rectangular pool and asks for the depth. The volume of a rectangular prism is given by the formula \(\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}\).
Step 2 :We can rearrange this formula to solve for Depth: \(\text{Depth} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}\).
Step 3 :Substitute the given values into the formula: \(\text{Depth} = \frac{540}{30 \times 16}\).
Step 4 :Simplify the expression to find the depth of the pool.
Step 5 :Final Answer: The depth of the pool is \(\boxed{1.125}\) feet.