#### Answer

$284.478^{\circ}$ or, $ \approx 284.5^{\circ}$

#### Work Step by Step

Let us consider $ \theta =\cos^{-1} (0.25)$
In order to get the answer in degrees, we need to put the calculator in degrees mode.
Then, our result will be: $\theta \approx 75.522^{\circ}$
But, the angle $\theta$ does not belong to the interval , so we will compute the reference angle that lies in the given interval. Then we have: $\theta = 360^{\circ}-75.522^{\circ}=284.478^{\circ}$ or, $ \approx 284.5^{\circ}$