Problems In Three Dimensions
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\(B\) and \(C\) are two points \(600\text{ m}\) apart on level ground and \(A\) is the top of a vertical tower \(AD\). In \(\triangle ABC\), \(\angle ABC=60^\circ\) and \(\angle ACB=40^\circ\). The angle of elevation of \(A\) from \(B\) is \(\angle ABD=5^\circ\). Find the height \(AD\) of the tower, to the nearest metre.
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