<p>In the diagram, $\angle BQC=90{}^\circ $, $\angle BCA=75{}^\circ $, $BC=9.2$cm, $PB=10.1$cm and $AB=12.5$cm.</p>
<p>Calculate</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$BQ$,</div></li><li><div class="list-item-paragraph">$PQ$,</div></li><li><div class="list-item-paragraph">$AP$,</div></li><li><div class="list-item-paragraph">angle $APB$.</div></li></ol>
<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/1769845873552-bd4k9hfgb2q.png" style="max-width: min(350px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

In the diagram, $\angle BQC=90{}^\circ $, $\angle BCA=75{}^\circ $, $BC=9.2$cm, $PB=10.1$cm and $AB=12.5$cm.

Trigonometry with Right Angles and Given Side Lengths

Trigonometry with Right Angles and Given Side Lengths

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