Final answer:
According to the passage from Simonides, Danae, and Perseus were in a wrought chest, which is reflected in the description of their journey at sea.
Step-by-step explanation:
In the passage from Simonides, an ancient Greek poet, Danae and her son Perseus are described as being inside a wrought chest during their tumultuous journey on the sea. This clearly indicates the correct answer to the student's question that the type of vessel they are in is a wrought chest (option c). Danae's experience within this chest, as well as the descriptions of fear and desire to protect her child, reinforces the dangers and trials faced by these characters from classical mythology as they navigated treacherous waters.