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A boy observes a dog, at an angle of 40\(^{\circ}\) from the top of the building, 6 \(m\) above the ground. The dog runs towards the building through a distance, and its angle from the top of the building is \(45^{\circ}\). Find the distance the dog has moved. (Use \(tan \ 40^{\circ} = 0.839\))
 
Answer:
 
38.png
 
Let \(AB\) denote the height of the building.
 
\(BD = \)
 
\(BC = \)
 
The dog moved about a distance of
 \(m\).