An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53°07'. At a dis- tance of 600 ft from the base, on level ground, the angle of incli- nation to the apex is 27°09'. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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1.19 An Egyptian pyramid has a square base and symmetrical sloping
faces. The inclination of each sloping face is 53°07'. At a dis-
tance of 600 ft from the base, on level ground, the angle of incli-
nation to the apex is 27°09'. Find the vertical height and the slant
height of the pyramid and the width of the pyramid at its base.
53° 07'
27° 09'
600'
PROBLEM 1.19
Transcribed Image Text:1.19 An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53°07'. At a dis- tance of 600 ft from the base, on level ground, the angle of incli- nation to the apex is 27°09'. Find the vertical height and the slant height of the pyramid and the width of the pyramid at its base. 53° 07' 27° 09' 600' PROBLEM 1.19
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