An observer 2.25 m tall is 42.75 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45∘. What is the height of the chimney?
The correct option is B
The given situation is represented by the figure above. ∴tan45∘=ABEBBut,EB=DC∴tan45∘=ABDC⇒DC×tan45∘=AB⇒AB=1×42.75=42.75m Height of chimney = AC = AB + BC But,BC = ED So, AC=AB + ED = 42.75 + 2.25 = 45m