Applications of Trigonometry: The Shadow Problem
Applications of Trigonometry: The Shadow Problem
Secondary 3
The diagram shows a vertical pole \(AD\), its shadow \(DC\) at \(1\) p.m. and its shadow \(DB\) at \(2\) p.m.
The angle of elevation of the top of the pole from \(B\) is \(64{}^\circ\).
The length of \(DB\) at \(2\) p.m. was \(4\) m long.
- Calculate the height of the pole \(AD\), correct to \(3\) significant figures.
- If the length of the shadow at \(2\) p.m. was twice that at \(1\) p.m., find \(\angle CAB\), leaving your answer to \(1\) decimal place.
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Answer:(i) \(AD=8.20\text{ m}\text{ (3 s.f.)}\) (ii) \(\angle CAB=12.3^\circ\text{ (1 d.p.)}\)
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