Answer
reference angle = $48.3^o$
Refer to the image below for the drawing
Work Step by Step
The angle is positive so from the positive x-axis, move $311.7$ degrees counterclockwise.
(refer to the attached image in the answer part above)
The terminal side of the angle is in Quadrant IV.
The reference angle of an angle $\theta$ in Quadrant IV can be found using the formula $360^o-\theta$
Thus, the reference angle of the given angle is:
$=360^o -311.7^o
\\=48.3^o$