waecmaths question:
In $\Delta XYZ$, $\left| YZ \right|=32cm$, $\angle YXZ=52{}^\circ $ and $\angle XZY=90{}^\circ $ Find, correct to the nearest centimetre, $\left| XZ \right|$
Option A:
31cm
Option B:
25cm
Option C:
20cm
Option D:
13cm
waecmaths solution:
$\begin{align} & \tan \theta =\frac{opposite}{adjecent} \\ & \tan 52{}^\circ =\frac{\left| YZ \right|}{\left| XZ \right|} \\ & \text{1}\text{.2799=}\frac{32cm}{\left| XZ \right|} \\ & \left| XZ \right|=\frac{32cm}{1.2799}=25.00cm \\ & \\\end{align}$
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