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Question

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?



A

40 m

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B

35 m

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C

45 m

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D

50 m

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Solution

The correct option is B

45 m



The given situation is represented by the figure above.
tan45=ABEBBut, EB=DCtan45=ABDCDC×tan45=ABAB=1×42.75=42.75m
Height of chimney = AC = AB + BC
But,BC = ED 
So, AC=AB + ED = 42.75 + 2.25 = 45m
 

Mathematics

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