A point on the ground is 5m away from the foot of a vertical wall...

WAEC 2004

A point on the ground is 5m away from the foot of a vertical wall 7 m high, Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

A. 36^o
B. 44^o
C. 46^o
D. 54^o

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Correct Answer: Option D

Explanation

θ= angle of depression of the point from the top of the wall
\(tan\theta = \frac{7}{5}=1.4; \theta = tan^{-1}(1.400)\
\theta = 54.4^{\circ}; \theta = 54^{\circ}\) to the nearest degree

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