# Math Help - cube problem

1. ## cube problem

Suppose each edge is 6 inches long. Find the measure of the angle formed by diagonal GB and edge GC.
I can do similar problems but the angle on this one is killing me. Can someone please help m figure it out? thanks sooooo much

2. Hello, daydreembelievr!

Suppose each edge is 6 inches long.
Find the measure of the angle formed by diagonal $GB$ and edge $GC$.

Triangle $BCG$ is a right triangle.
Code:
            * B
/|
/ |
/  |   _
/   | 6√2
/    |
/     |
/ θ    |
G *-------* C
6

$GC$ is an edge of the cube: . $GC \:=\:6$

$BC$ is the diagonal of a face: . $BC \:=\:6\sqrt{2}$

Then: . $\tan\theta\:=\:\frac{6\sqrt{2}}{6} \:=\: