E MICHAEL WITE RESPONDS:
It's rather odd that TalkOrigins would ask such a question since they do not believe man and dinosaurs lived at the same time. They believe that dinosaurs lived more than 60 million years before man.
But recent discoveries of soft T-Rex tissue puts those claims into serious question.
Regardless. not all dinosaurs are large.
COMPSOGNATHUS pictured here could grow up to the size of a turkey.
Not really a space problem for the Ark.