Answer
$89^{\circ}54'01''$
Work Step by Step
$89.9004^{\circ}=89^{\circ}+0.9004^{\circ}$
$=89^{\circ}+0.9004(60')=89^{\circ}+54.024'$
$=89^{\circ}+54'+0.024'$
$=89^{\circ}+54'+0.024(60'')$
$=89^{\circ}+54'+1.44''$
$=89^{\circ}54'01''$