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?
Options:
A .  40 m
B .  35 m
C .  45 m
D .  50 m
Answer: Option C : C The given situation is represented by the figure below: In triangle ABE, tan45∘=ABEBAlso,EB=DC∴tan45∘=ABDC⇒AB=DC×tan45∘⇒AB=1×42.75 Hence, the height of the chimney = AC= AB + BC We can observe thatBC = ED. Thus, AC = AB + ED = 42.75 + 2.25 = 45 m.
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