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Q.

The angle elevation of top of vertical tower standing on horizontal plane is observed to be 45from a point A on the plane. Let B be the point 30 mvertically above the point A.if the angle of elevation of the top of the tower from B be 30,then thedistance of the foot of the tower from the point A is

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a

155-3

b

153+3

c

151+3

d

153-3

answer is B.

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Detailed Solution

DAC=45°,DBE=30°,AB=30 ,From ΔACD,tan45°=hhh=x From ΔBDE,tan30°=h-30r 13=h-30x x=h3-303 h=h3-303 h(3-1)=303 h=3033-1=15(3+3)Question Image

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