Final answer:
The height of the pentagonal pyramid with a volume of 448 cubic meters and a base area of 84 square meters is 16 meters, which is not one of the provided options.
Step-by-step explanation:
To find the height h of a pentagonal pyramid with a given volume V and the area A of the base, you can use the formula for the volume of a pyramid, V = (1/3)Ah, where A is the area of the base and h is the height of the pyramid. In this case, the volume of the pyramid is given as 448 cubic meters and the area of the base is given as 84 square meters.
To solve for the height, rearrange the volume formula to h = 3V/A:
h = (3 × 448 m³) / 84 m²
h = 1344 m³/m²
h = 16 m
So, none of the options A. h=5.6, B. h=7.2, C. h=8.4, or D. h=10.1 are correct. The actual height of the pyramid is 16 meters.