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Find the angle between a diagonal of a cube and a diagonal of one of its faces.

User Bigtoe
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Answer:

35.26°

Explanation:

If a cube has side length x

diagonal of the face = x×√2

The diagonal of the cube = x × √3

the angle between them is an acute angle in a right triangle,

opposite = x , adjacent = x×√2 , hyp. = x×√3

sin(angle) = x / ( x×√3 )

angle = sin^(-1) ( 1/√3) = 35.26

User Firas Assaad
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