A \(1.8 m\) tall boy spots a balloon moving with the wind in a horizontal line at a height of \(97.8 m\) 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.). Find the distance traveled by the balloon during the interval.
Distance travelled by the balloon \(=\) \(m\)
Answer variants:
117.078
112.348
110.148
110.848