distance $\backslash ($ d $\backslash )$ is $4\mathrm{.}5$ cm $.$ The compass needle deflects $10$ degrees from North, as shown. At this location the horizontal component of the Earth's magnetic field is $\backslash (2\backslash$mathrm$\{$e$\}-5\backslash )$ tesla.

What is the direction of the magnetic field at location $\backslash ($ A $\backslash ),$ midway between the wires, due to the current in the wire?

Into the page

What is the approximate magnitude of the magnetic field at location $\backslash ($ A $\backslash ),$ due to the current in the wire?

$\backslash (|\backslash$vec$\{$B$\}|\backslash )$ :

What approximations or assumptions did you make in solving this problem?

Assume the bent end of the wire is far from location $\backslash ($ A $\backslash )$

Assume one side of the wire is much longer than $\backslash ($ d $\backslash )$

Assume the Earth's magnetic field is negligible

Assume that at the location of the compass the effect of the distant wire is negligible