The Great Pyramid of Giza in Egypt is a right square pyramid with base lengths of approximately 230 meters. The faces of the pyramid are inclined at 52 degree angles. What is the approximate height of the Great Pyramid to the nearest tenth of a meter?
Added by Raymond F.
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Since the pyramid is a right square pyramid, the base is a square and the apex is directly above the center of the base. This forms a right triangle with half the length of the base and the slant height (the height of the triangular faces) as the two legs, and Show more…
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The Great Pyramid of Giza in Egypt is a right pyramid with a square base. The pyramid is made of solid stone. The sides of the base are 230 m long. The diagram below represents this pyramid. V is the vertex of the pyramid, O is the center of the base, and M is the midpoint of side AB. Angle ABV = 58.3°. Find the length of VM. Calculate the height of the pyramid, VO. Calculate the volume of the pyramid.
Shubham K.
We know from historical records that the Great Pyramid of Giza was originally about 147 m tall. Assuming it was built with its faces at 52 degree inclines, what was the original length of one side of its base? Round your answer to the nearest meter. 91 m 115 m 181 m 230 m
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How Tall Is the Great Pyramid? The ancient Greek philosopher Thales of Miletus is reported on one occasion to have visited Egypt and calculated the height of the Great Pyramid of Cheops by means of shadow reckoning. Thales knew that each side of the base of the pyramid was 252 paces and that his own height was 2 paces. He measured the length of the pyramid's shadow to be 114 paces and determined the length of his shadow to be 3 paces. See the illustration. Using similar triangles, determine the height of the Great Pyramid in terms of the number of paces.
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