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Geometry Level 3

(Refer to diagram below) Two lines intersect at \(O\) at an angle of \(60^\circ\). Two circles are drawn such that they are tangent to each other and the two lines. \(A\) and \(B\) are the centers of the smaller and larger, respectively. If the radius of the smaller circle is \(15\), what is the length of \(OB\)?

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