Correct option is: C) 8
Sun's angle of elevation is \(45^\circ\)
\(\therefore\) \(\angle\)CAB = \(45^\circ\)
The height of tree be BC = 8m.
In right \(\triangle\)ABC,
tan A = \(\frac {BC}{AB}\) \(\Rightarrow\) AB = \(\frac {BC}{tan \, 45^\circ}\) (\(\because\) \(\angle\)A = \(45^\circ\))
\(\Rightarrow\) AB = BC (\(\because\) tan \(45^\circ\) = 1)
\(\Rightarrow\) AB = 8m (\(\because\) BC = 8m)
Hence, the length of the shadow of tree is 8m.