A compass needle point 23o e of n outdoors however when it

Question

Compute all parts of given question:

Question: A compass needle point 23o E of N outdoors. However, when it is placed 16.0cm to the east of a vertical wire inside a building, it point 32^o E of N. What is the magnitude of the current in the wire? The Earth's field there is 0.50 ×10⁴ T and is horizontal.

Part A: What is the magnitude of the current in the wire?

Part B: What is the direction of the current in the wire?

Please provide clear step by step solution with notes on concepts and equations being used.