Height of a vertical mast from two angles of elevation and a triangle on horizontal ground
Height of a vertical mast from two angles of elevation and a triangle on horizontal ground
IB Year 6 | Grade 12
6 marks
The points \(P\), \(Q\) and \(R\) lie on horizontal ground. A vertical mast \(PT\) stands at \(P\). The distance \(QR\) is \(80\text{ m}\) and \(\angle PQR=60^\circ\). The angles of elevation of \(T\) from \(Q\) and from \(R\) are \(35^\circ\) and \(25^\circ\) respectively.
Find the height of the mast, \(PT\).[6]
Solution:
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Answer:\(PT=32.4\text{ m}\) (3 s.f.)
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