  Detailed measurements of the in-plane resistivity were performed in a
high-quality Ba(Fe$_{1-x}$Co$_{x}$)$_2$As$_2$ ($x=0.065$) single crystal, in
magnetic fields up to 9 T and with different orientations $\theta$ relative to
the crystal $c$ axis. A significant $\rho(T)_{H,\theta}$ rounding is observed
just above the superconducting critical temperature $T_c$ due to Cooper pairs
created by superconducting fluctuations. These data are analyzed in terms of a
generalization of the Aslamazov-Larkin approach, that extends its applicability
to high reduced-temperatures and magnetic fields. This method allows us to
carry out a criterion-independent determination of the angular dependence of
the upper critical field, $H_{c2}(\theta)$. In spite of the relatively small
anisotropy of this compound, it is found that $H_{c2}(\theta)$ presents a
significant deviation from the single-band 3D anisotropic Ginzburg-Landau
(3D-aGL) approach, particularly for large $\theta$ (typically above
$\sim60^o$). These results are interpreted in terms of the multiband nature of
these materials, in contrast with other proposals for similar $H_{c2}(\theta)$
anomalies. Our results are also consistent with an effective anisotropy factor
almost temperature independent near $T_c$, a result that differs from the ones
obtained by using a single-band model.
