Answer:
(1) 13.86 units.
(2) 1182.72 cubic units.
Step-by-step explanation:
Please find the attachment.
We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid.
(1) We can find height of pyramid using tan.
The length of opposite side will half the length of square base.
Therefore, the height of the pyramid will be 13.86 units.
(2). We know that volume of pyramid is 1/3 the product of base area and height.
Therefore, the volume of the pyramid would be 1182.72 cubic units.
