Final answer:
The question is asking for the length of a triangle's side but lacks sufficient details. For a 30-60-90 triangle, the side lengths are proportional to 1:sqrt(3):2. Without further information, the question can't be answered.
Step-by-step explanation:
The question appears to be asking for the solution to a right-angled triangle problem, possibly using trigonometric functions or the Pythagorean theorem. However, the information given in the question is incomplete regarding the specific details of the triangle. To properly answer this question, one would typically apply the properties of right triangles. If it is a 30-60-90 triangle, one can use special ratios where the sides are in the proportion 1:sqrt(3):2.
In this particular question, it seems that we are missing some information to give a complete response. It looks like we are given angles and one side, but the actual numerical values and the placement of the side lengths and angles within the triangle are unclear, rendering the question unsolvable as is.
If additional information was provided, such as which side of the triangle measures 6 units, an answer involving simplest radical form and rational denominators would be possible.