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So I know that:

B(horz.) = 4.5 x 10-5 T

r = .019 m

Theta = 40° North of West

I have tried combing F = ILB sin theta and B= (U(0) I)/(2*p* r), but I can find no place to incorporate my theta or how to find the vertical component of the earth's magnetic field (if it is even needed).

Please show me the error of my ways.