The base of the Great Pyramid at Giza is a square that is 20 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side measures the angle of elevation of the apex to be = s1 with an error of 203. What can the archaeologist reasonably say about the height of the pyramid? Round your answers to two decimal places. The height lies between m and m. (b) Use differentials to estimate the allowable error in the elevation angle , that will ensure an error in the height is at most m. Round your answer to four decimal places.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The base of the Great Pyramid at Giza is a square that
is 20 m on each side.
(a) As illustrated in the accompanying figure, suppose
that an archaeologist standing at the center of a side
measures the angle of elevation of the apex to be 4 = 51°
with an error of 203. What can the archaeologist
reasonably say about the height of the pyramid?
Round your answers to two decimal places.
The height lies between
m and
m.
(b) Use differentials to estimate the allowable error in
the elevation angle , that will ensure an error in the
height is at most =3 m.
Round your answer to four decimal places.
Transcribed Image Text:The base of the Great Pyramid at Giza is a square that is 20 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side measures the angle of elevation of the apex to be 4 = 51° with an error of 203. What can the archaeologist reasonably say about the height of the pyramid? Round your answers to two decimal places. The height lies between m and m. (b) Use differentials to estimate the allowable error in the elevation angle , that will ensure an error in the height is at most =3 m. Round your answer to four decimal places.
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