Question

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.

Answer 1

 We have a right triangle ( picture is in the attachment ):
  tan 52° = h / 41 m
  h = 41 m · tan 52° = 41 m · 1.27994 = 52.4776 m ≈ 52 m
  Answer: height of the pyramid is 52 m. 

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