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Q.

A balloon is moving up in air vertically above a point A on the ground . When it is  at high  h1 ,a girl standing at a distance d (  point B from A)  (see figure) sees it at an angle 450 with respect to the vertical . When the balloon climbs up a further  height  h2, it is seen at an angle 600  with respect to the vertical if the girl moves further by a distance 2.464d   (Point C) . Then the height h2  is ( Given  tan 300=0.5774):

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a

0.464 d

b

d

c

0.732 d

d

1.464 d

answer is B.

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Detailed Solution

Initially,tan450 = h1d ⇒h1=d Finally,  tan 300=h2+h13.464d 13 =d+h23.464d 0.577(3.464)d-d =h2 h2 =2d-d =d
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A balloon is moving up in air vertically above a point A on the ground . When it is  at high  h1 ,a girl standing at a distance d (  point B from A)  (see figure) sees it at an angle 450 with respect to the vertical . When the balloon climbs up a further  height  h2, it is seen at an angle 600  with respect to the vertical if the girl moves further by a distance 2.464d   (Point C) . Then the height h2  is ( Given  tan 300=0.5774):