Building height from elevation and depression

Building height from elevation and depression

Secondary 2
3 marks
TGM Original Questions

Core stretch

From a window \(E\), another vertical building \(AC\), 180 m away horizontally, is observed. The angle of elevation of \(A\) is \(48^\circ\), and the angle of depression of \(C\) is \(22^\circ\). Find the height \(AC\). [3]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:\(273\) m (3 s.f.).

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