Trigonometric Analysis of Non-Right Angled Triangles

Trigonometric Analysis of Non-Right Angled Triangles

TGM Original

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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Answer:\(AB=110\text{ m}\) (3 s.f.)

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