From Longman Dictionary of Contemporary Englishclear-headedˌclear-ˈheaded adjective SENSIBLEable to think in a clear and sensible way
Examples from the Corpus
clear-headed• Being clear-headed and aware of his or her own feelings, needs and resources, skills and deficiencies.• They needed no professional help with the evening's drinking but arose magically clear-headed and eagle-eyed for each subsequent day's golf.• Though very seriously ill, she was clear-headed and rational.• Family ties, however, did not prevent Victoria's clear-headed assessment that intervention was useless.• On the eighth day, she felt her normal, clear-headed self again.• What a useful, reliable, clear-headed son.• The impression that a simple one-sided morality is of itself nobler and more clear-headed than a complex one is false.• One has to be very clear-headed to do what I am doing. 