The term 'with eyes wide open' can be summarized by two crossword solutions: ALERT (5 letters) and ALERTLY (7 letters). ALERT is an adjective meaning to be watchful and attentive, while ALERTLY is an adverb meaning in a vigilant manner. This phrase is often used to describe someone who is aware of their surroundings and is paying close attention to what is happening. It can also be used to describe someone who is being cautious and taking all necessary precautions.