Answer
$F=25.98 i+15 j$
Work Step by Step
The component form of the force $F$ can be determined as: $F=|F| \cos \theta i+|F| \sin \theta j$
The horizontal component of the force $F$ can be determined as: $F_H=|F| \cos \theta i$
and
The vertical component of the force $F$ can be determined as: $F_v=|F| \sin \theta j$
Given: $F=30 lb$
Thus, we have
$F_H=|F| \cos \theta i=30 \cos 30^{\circ}=25.98 lb$ and
$F_v=|F| \sin \theta j=30 \sin 30^{\circ}=15 lb$
Hence, the component form of the force $F$ can be determined as: $F=25.98 i+15 j$
