A 1.2 m tall girl spots a balloon moving with the wind at a height of 88.2m 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°.
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parekhsuchita4654
03.11.2017
Math
Secondary School
+13 pts
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A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60 degree. After some time, the angle of elevation reduces to 30 degree find the distance travelled by the balloon during the interval.
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Shruti04
Shruti04Ambitious
AE/CE=tan60°
AF-EF/CE=tan60°
88.2-1.2/CE= root 3
87/CE=ROOT 3
CE= 87/ROOT 3 =29 ROOT 3
IN triangle BCG,
BG/CG=tan30°
88.2-1.2/CG=1/ROOT3
87 ROOT3m-CG
distance travelled by balloon=EG=CG-CE
(87 ROOT3-29 ROOT3)m
58 Root3...
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