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Question

A statue standing on the top of a pillar 25m heigh subtends an angle whose tangent is 0.125 at a point 60m from the foot of the pillar the best approximation for the height of the statue is

A
9.27m
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B
9.28m
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C
9.29m
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D
9.30m
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Solution

The correct option is C 9.29m
Given
tanθ=0.125=18

tanα=2560=512 [ from the figure]


According to question,

tan(α+θ)=25+h60

tanα+tanθ1tanα.tanθ=25+h60

512+181512.18=25+h60

10+324×9691=25+h60

1324×9691=25+h60

47=25+h60

240=175+7h

7h=65

h=657=9.29

h=9.29

1430823_40486_ans_95d28eff3e32425f9af7303fbba2ccde.png

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