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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

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B

35

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C

45

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D

50

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Solution

The correct option is C

45



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


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