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Question

A man standing on a level plain observes the elevation of the top of a pole of height h to be π/12. He then walks a distance x m towards the pole and finds that the elevation is now π/6. If h=33 m then x2 is equal to

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Solution

Clearly PAQ=APQ
AQ=x (sides opposite to equal angles are equal)
Now in ABQ
sin300=hAQ
x=66 m
So, x2=4356 m2
204750_195941_ans_3ad758f33ccd42429f659fe46107f398.png

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