Step 1 :The volume of a pyramid is given by the formula \(V = \frac{1}{3} \times \text{base_area} \times \text{height}\). We know the volume and the base area, so we can rearrange the formula to solve for the height: \(\text{height} = \frac{3 \times \text{volume}}{\text{base_area}}\).
Step 2 :Substitute the given values into the formula: \(\text{base_area} = 64.95\) and \(\text{volume} = 346.41\).
Step 3 :Calculate the height: \(\text{height} = \frac{3 \times 346.41}{64.95} = 16.000461893764435\).
Step 4 :Round the result to the nearest foot: \(\text{height_rounded} = 16\).
Step 5 :Final Answer: The height of the tent, rounded to the nearest foot, is \(\boxed{16}\) feet.