![A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground](https://www.gkseries.com/blog/wp-content/uploads/2024/04/A-2.2m-tall-girl-spots-an-aeroplane-moving-with-the-wind-in-a-horizontal-line-at-a-height-of-86.2m-from-the-ground.jpg)
A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground. The angle of elevation of the aeroplane from eyes of the girl at instant is 60°. After some time, the angle of elevation reduces to 30°. Find the distance travelled by the aeroplane during the interval?
(a) 84√3 m
(b) 56√3m
(c) 70√3m
(d) 56m
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-71-1024x641.png)
In ∆ ACD
AD = 84m
tan60° =AD/CD
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-72-1024x212.png)
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-73-1024x1017.png)