Given the cube ABCD. EFGH. The point M is on the edge AD such that | A M | = 2 | M D | . Calculate the tangent of the angle between the planes BCF and BGM.A) 3 2 B) 2 2 C) 3 2 2 D) 1 2 2 E) 2

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Given the cube ABCD. EFGH. The point M is on the edge AD such that       |    A  M      |    =  2      |    M  D      |   . Calculate the tangent of the angle between the planes BCF and BGM.A)   3      2  B)   2      2  C)       3    2        2  D)       1    2        2  E)       2

sniokd · Accepted Answer

Step 1The value that you&#039;ve got,             22        11   is the cosine of the angle. Then  tan  ⁡  α  =            sin      ⁡      α              cos      ⁡      α        =            1      −              cos        2            ⁡      α              cos      ⁡      α          =            1      −              22                  11          2                                    22            11        =            99      22        =  3      1          2        =      3    2        2

Given the cube ABCD. EFGH. The point M is on the edge AD such that <mrow class="MJX-TeXAtom-ORD"

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