Answer
10 hours after midnight, the tide is 1.558 feet high.
Work Step by Step
We substitute $x=10$ in the formula and solve:
$f(x)=0.6\cos[0.511(x-2.4)]+2$
$f(10)=0.6\cos[0.511(10-2.4)]+2$
$f(10)=0.6\cos[0.511(7.6)]+2$
$f(10)=0.6\cos[3.884]+2$
$f(10)=0.6(-0.7368)+2$
$f(10)=1.558$
Therefore, 10 hours after midnight, the tide is 1.558 feet high.