Tree height from two observation points

Tree height from two observation points

Secondary 2
TGM Original Questions

From point \(X\) on level ground, the angle of elevation of the top \(A\) of a vertical tree \(AB\) is \(28^\circ\). After moving 20 m directly away from the tree to \(Y\), the angle is \(19^\circ\). Find the height \(AB\) to 3 significant figures.

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Answer:\(19.5\) m (3 s.f.).

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