Given the cube ABCD. EFGH. The point M is on the edge AD such that...

Savanah Boone

Savanah Boone

Answered

2022-07-01

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

Answer & Explanation

sniokd

sniokd

Expert

2022-07-02Added 22 answers

Step 1
The value that you'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

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