2022 NJC J2 CT P1 Q2
Timothy Gan
2022 NJC J2 CT P1 Q2
In the diagram above, $AC=10$, $AD=8$, $BC=5$, angle $ADC$ is a right angle and angle $BCD=\theta $ radians. By considering angle $ACD$, show that $AB\approx {{\left( 65-80\theta +30{{\theta }^{2}} \right)}^{\frac{1}{2}}}\approx p+q\theta +r{{\theta }^{2}}$ is a sufficiently small angle, where $p$, $q$ and $r$ are constants to be determined exactly.
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