Final answer:
The magnetic field at a point west of a vertically oriented wire carrying current out of the page is directed towards the south, as determined by the right-hand rule.
Step-by-step explanation:
The question relates to the behavior of the magnetic field around a current-carrying wire. According to the right-hand rule, if a vertical wire carries an electric current out of the page (or screen), you can determine the direction of the magnetic field by pointing your thumb in the direction of the current and curling your fingers.
For a point located to the west of the wire, your curled fingers would point towards the south when your thumb points out of the page, indicating that the magnetic field at point P is directed towards the south.
The magnetic field at a point located to the west of a vertical wire carrying an electric current out of the page depends on the current's direction. In this case, the current is flowing out of the page, perpendicular to the wire.
Using the right-hand rule for determining the direction of the magnetic field, if you point your thumb in the direction of the current (out of the page), then your fingers will curl in the clockwise direction. So, the magnetic field at point P, located to the west of the wire, would be in the East direction.
Therefore answer is c) East.