A 1.2 m tall girl spots a balloon moving
with the wind in a horizontal line at a
height of 88.2 m from the ground. The
angle of elevation of the balloon from
the eyes of the girl at any instant is
60°. After some time, the angle of
elevation reduces to 30°/see Fig. 9.13).
Find the distance travelled by the
balloon during the interval.
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Step-by-step explanation:
AB=xm
BC=Ym
AC=x+y
EAB=60
IN TRI. Abe
tan60=BE/AB
/3=87/X
X=87//3
IN TRI. ACD
TAN30=CD/AC
1÷/3=87/X+Y
X+Y=87/3
87÷/3+Y=87/3
Y=87/3-87÷/3
Y=87/3-87÷/3
=87×3-87÷/3
=174÷/3
=174×/3÷3
=174×/3÷3
=58×1.73
=100.34m
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