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A 1.2 m tall girl spots a ballon moving ...

A 1.2 m tall girl spots a ballon moving with 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^(@)`. Find the distance travelled by the balloon during the interval.

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To solve the problem step by step, we will use trigonometric principles to find the distance traveled by the balloon. ### Step 1: Understand the scenario The girl is 1.2 m tall, and the balloon is at a height of 88.2 m from the ground. The height of the balloon above the girl's eyes is: \[ \text{Height of the balloon above the girl's eyes} = 88.2 \, \text{m} - 1.2 \, \text{m} = 87 \, \text{m} \] ...
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