Respuesta :
The altitude of the original pyramid is about 75.11 units
Given that,
Let h stand in for the original pyramid's height. The cut-off top then stands at a height of (h -22). The square of the scale factor for height is the scale factor for area, therefore we get :
Altitude of Pyramid means The slant height of a regular pyramid is its lateral face's height. Slant height in a non-rectangular pyramid is not specified. When determining the height (or altitude) of a regular, right pyramid, the vertex (the top) is used as the point perpendicular to the base. The base will intersect at this position.
(Height ratio)^2 = 1/2
((h -22)/h) ^ 2 = 1/2
(h-22) / h = 1/[tex]\sqrt{2}[/tex]
h-22 = h /[tex]\sqrt{2}[/tex]
h = 75.11 units
Consequently, the original pyramid's altitude is around 75.11 units.
Learn more about Altitude :
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