A 1.2 m tall girl spots a balloon

Asked by admin @ in Math viewed by 411 People

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.

Answered by admin @


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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