Can anyone help me please? I’ll mark you as a brainliest
2 answers:
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Answer:
~8.66cm
Step-by-step explanation:
The length of a diagonal of a rectangular of sides a and b is
in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:
Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths is
So the solution here is
Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
The identity that relates the sine squared and the cosine squared of the angle, as follows:
In this problem, we have that the sine is given by:
Hence, applying the identity, the cosine is given as follows:
The tangent is given by the sine divided by the cosine, hence:
More can be learned about trigonometric identities at brainly.com/question/24496175
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