Answer
$\theta = 60^{\circ}$
Work Step by Step
We can use Malus' Law:
$I = I_0~cos^2~\theta$
$0.25~I_0 = I_0~cos^2~\theta$
$cos^2~\theta = 0.25$
$cos~\theta = \sqrt{0.25}$
$cos~\theta = 0.50$
$\theta = cos^{-1}~(0.50)$
$\theta = 60^{\circ}$