<p>The diagram shows a vertical pole \(AD\), its shadow \(DC\) at \(1\) p.m. and its shadow \(DB\) at \(2\) p.m.</p>
<p>The angle of elevation of the top of the pole from \(B\) is \(64{}^\circ\).</p>
<p>The length of \(DB\) at \(2\) p.m. was \(4\) m long.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767424650450-hni033qcaup.png" style="max-width: min(150px, 100%); height: auto; display: block;" alt="Diagram showing vertical pole AD and shadows DC and DB at different times." class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-paragraph">Calculate the height of the pole \(AD\), correct to \(3\) significant figures.</div></li><li><div class="list-item-paragraph">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.</div></li></ol>

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.

Applications of Trigonometry: The Shadow Problem

Applications of Trigonometry: The Shadow Problem

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