Final answer:
The height of the hexagonal pyramid tent is found using the volume formula for a pyramid, which results in approximately 16.02 feet. After rounding to the nearest foot, the height is 16.0 feet, corresponding to option 4.
Step-by-step explanation:
To find the height of a hexagonal pyramid given the area of its base and its volume, we can use the formula for the volume of a pyramid: \( V = \frac{1}{3} \times B \times h \), where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height of the pyramid. Given the area of the hexagonal base as 64.95 ft2 and the volume of the tent as 346.41 ft3, we can set up the equation:
\( 346.41 = \frac{1}{3} \times 64.95 \times h \)
Solving for \( h \), we get:
\( h = \frac{3 \times 346.41}{64.95} \approx 16.02 \) feet
So the height of the tent, rounded to the nearest foot, is 16.0 feet, which corresponds to option 4.