Station \(B\) is \(12\) km due east of station \(A\). A signal at \(P\) has bearing \(035^\circ\) from \(A\) and \(300^\circ\) from \(B\). The diagram marks the smaller angle between \(BP\) and north at \(B\).
Calculate \(AP\), correct to 3 significant figures.[4]
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