How Does a Compass React to a Current-Carrying Wire?

[demonhunter19]

Homework Statement

A long current-carrying wire, oriented North-South, lies on a table (it is connected to batteries which are not shown). A compass lies on top of the wire, with the compass needle about 3 mm above the wire. With the current running, the compass deflects 10 degrees to the West. At this location, the horizontal component of the Earth's magnetic field is about 2e-5 tesla.

What is the magnitude of the magnetic field at location A, on the table top, a distance 2.9 cm to the East of the wire, due only to the current in the wire?

Homework Equations

B(wire)=10^-7(2*I)/r
Bnet = Bearth + Bwire

The Attempt at a Solution

I know Bearth = 2e-5, and taking into account that Bnet would be the deflection, I obtained 2.0308e-5 for Bnet, and hence, Bwire would equal to 3.08532e-7. I don't really know where to go from here.
Thanks in advance.

 

[gabbagabbahey]

Well, you've calculated Bwire at r=3mm, so what does that make I? what does that make bwire at r=2.9cm?

Edit- you might also want to show us your calculation of Bnet, because I don't think it is correct.