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.

Explanation

To solve the problem step by step, we will use trigonometric ratios and the properties of right triangles.

### Step 1: Understand the problem
We have a girl who is 1.2 m tall, and she spots a balloon at a height of 88.2 m. The angle of elevation to the balloon changes from 60° to 30°. We need to find the distance the balloon travels horizontally during this time.

### Step 2: Calculate the height of the balloon above the girl's eyes
The height of the balloon above the ground is 88.2 m, and the height of the girl is 1.2 m. Therefore, the height of the balloon above the girl's eyes (DC) is:

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