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Q.

[2]

A statue, 1.6m tall, stands on the top of pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60 o and from the same point the angle of elevation of the top of the pedestal is 45 o . Find height of the pedestal.


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a

Question Image

b

0.83+2m

c

0.83+3m

d

0.83+4m 

answer is A.

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Detailed Solution

 Concept-  Using the angles given in question two triangles will be incorporated in the figure. To that figure, basic trigonometric formulas will be applied.
Question ImageNow from the figure
Question ImageQuestion ImageTherefore
Question ImageHence Question ImageAnd
Question ImageQuestion ImageQuestion ImageHence
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageHence the height of the pedestal is Question Image.
Hence, correct answer is 1) Question Image 
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