Question 19

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waecmaths question: 

In the diagram, $\left| TP \right|=12cm$ and it is  6cm from O, the centre of the circle Calculate $\angle TOP$

Option A: 

120o

Option B: 

90o

Option C: 

60o

Option D: 

 40o

waecmaths solution: 

$\begin{align}  & \left| TD \right|=6\text{    }\!\!\{\!\!\text{ }\bot \text{ bisector of }\left| TP \right|\} \\ & \angle TOD=\theta  \\ & \tan \theta =\frac{OD}{TD}=\frac{6cm}{6cm}=1 \\ & \theta ={{\tan }^{-1}}(1)={{45}^{\circ }} \\ & \angle TOP=2\theta =2\times {{45}^{\circ }}\text{     }\!\!\{\!\!\text{ line OD bisects }\angle TOP\} \\\end{align}$

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