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Q.

A man is at a height of 100 m. He sees a car which makes an angle of π6 with horizontal with man's position. If the car moves to .a point where angle is π3, what is the distance moved by it ?

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a

1003m

b

2003m

c

2003m

d

1503m

answer is C.

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Detailed Solution

See figureThe distance moved is y.From △ABCx=100tan⁡60∘=1003From △ABDtan⁡30∘=100x+yor (x+y)=100tan⁡30∘=100×31Now y=(x+ y)-x=1003−1003=2003
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