The time from Adam to present, per genealogy, is roughly 6017-6076 years. The world itself is obviously much older then that or we wouldn’t even be having this conversation. Just to scratch the surface, to think that dinosaurs were on the Ark would take a great stretch of the imagination, the flood does not adequately account for all of rock strata and the existence of coal, to think that God originally created a world that was “without form and void” (tohu va bohu) would certainly contradict a perfect God who saw that everything else was good, to restrict the existence and work of God to only the last 6-7000 years would certainly go against anything we believe.
The total destruction of this world after Lucifer corrupted it after Gen 1:1 then recreated it after Gen 1:2 makes much more sense and has much more base in fact and evidence.
Perhaps you not read ‘The Genesis Flood’ by Henry Morris? In it there is a picture of a fossilized dinosaur footprint with a human footprint embedded within it.
Also in the Book of Job are descriptions of behemoth and leviathon. It truly is just wishful thinking that man and dinsaurs never existed at the same time. Sure I know some are dangerous. Are there not man-eating animals and sea-creatures alive today?
Or consider the coelacanth (sp?) and wolemi pine tree presumed to exist only w/ the dinosaurs approx 70 million years ago. Now they try to not discuss this fish nor this tree anymore. Since living fossils were found for each - the coelacanth for sale no less in South American food markets!