Question 49

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waecmaths question: 

A boy looks through a window of a building and sees a man fruits on the ground 50 m away from the foot of the building. If the windows is  9m from the ground. Calculate, correct to the nearest degree, the angle of depression of the mango from windows

Option A: 

9o

Option B: 

10o

Option C: 

11o

Option D: 

12o

waecmaths solution: 

$\begin{align}  & \angle ABC=\angle DCB=\theta \text{    }\{\text{ Alternate angles }\}\text{ } \\ & \tan \theta =\frac{opp}{adj}=\frac{AC}{AB}=\frac{9m}{50m} \\ & \tan \theta =0.18 \\ & \theta ={{\tan }^{-1}}(0.18)={{10.2}^{{}^\circ }} \\ & \text{To the nearst degree, the angle of depression is }{{10}^{\circ }} \\\end{align}$

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