Both boats are due north of the cliff.
The angle of depression of boats \(A\) and \(B\) measured from the top of the cliff are \(62{}^\circ\) and \(36{}^\circ\) respectively.
Given that the height of the cliff \(PQ\) is \(130\) m, find the distance \(AB\) between the two boats.
Correct your answer to \(3\) significant figures.

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