Final answer:
To simplify arcsin(c/2), the actual value of c is needed. Due to the lack of numerical value for c provided in the question, we cannot definitively give an angle measure from the options listed.
Step-by-step explanation:
The question asks to simplify arcsin(c/2). Without additional information on the value of c, we cannot simplify this expression to an exact angle measure. However, we know that the arcsine function yields an angle whose sine is the given value. The sine of an angle is equal to the opposite side length divided by the hypotenuse in a right-angled triangle.
If c were the length of the hypotenuse, and we are looking for the arcsine of half that value, we would be dealing with a specific triangle where the opposite side is half the hypotenuse. But we need the actual numerical value to proceed further. The sine of an angle in a right triangle cannot exceed 1, so the value of c must be such that c/2 is between -1 and 1. The options provided (30°, 45°, and 60°) are common angle measures where the sine values are well known (0.5, 0.7071, and 0.8660, respectively), but without knowing c these options cannot be validated.