10) A 1.3m tall girl spots a balloon moving with the wind in horizontal line
at a constant height of 91.3m from the ground. The angle of elevation of
the balloon from the eyes of the girl at an instant has measure 60. After
some time, the angle of elevation is reduced in measure to 30. Find the
distance travelled by the balloon during the interval.
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Answer:
In ΔABC:- −tan60
o
=
AC
BC
AC=
3
90
=30
3
In ΔADE :- tan30
o
=
AD
ED
AD=90
3
CD=AD−AC
=90
3
−30
3
=60
3
m = Distance travelled by the balloon
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