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63. The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side mea- sures the angle of elevation of the apex to be = 51° with an error of ±0.5°. What can the archaeologist reasonably say about the height of the pyramid? (b) Use differentials to estimate the allowable error in the elevation angle that will ensure that the error in calcu- lating the height is at most ±5 m. 230 m 230 m

63. The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side mea- sures the angle of elevation of the apex to be = 51° with an error of ±0.5°. What can the archaeologist reasonably say about the height of the pyramid? (b) Use differentials to estimate the allowable error in the elevation angle that will ensure that the error in calcu- lating the height is at most ±5 m. 230 m 230 m

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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63. The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side mea- sures the angle of elevation of the apex to be = 51° with an error of ±0.5°. What can the archaeologist reasonably say about the height of the pyramid? (b) Use differentials to estimate the allowable error in the elevation angle that will ensure that the error in calcu- lating the height is at most ±5 m. & Figure Ex-63 230 m
Transcribed Image Text:63. The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in the accompanying figure, suppose that an archaeologist standing at the center of a side mea- sures the angle of elevation of the apex to be = 51° with an error of ±0.5°. What can the archaeologist reasonably say about the height of the pyramid? (b) Use differentials to estimate the allowable error in the elevation angle that will ensure that the error in calcu- lating the height is at most ±5 m. & Figure Ex-63 230 m
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