Pyramids: all but two of the pyramids built by the ancient egyptians have faces inclined at 52° angles. suppose an archaeologist discovers the ruins of a pyramid. most of the pyramid has eroded, but she is able to determine that the length of a side of the square base is 82 m. how tall was the pyramid, assuming its faces were inclined at 52°? round your answer to the nearest in meter. show work and explain.