![The angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/The-angle-of-elevation-of-the-top-of-an-unfinished-building-at-point-P-which-is-120-m-away-from-its-base-is-30.jpg)
Question | The angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building. | |
Type | multiple_choice | |
Option | 70 √3 m | incorrect |
Option | 75 √3 m | incorrect |
Option | 80 √3 m | correct |
Option | 85 √3 m | incorrect |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-121.png)
Let the height of remaining part of building be X.
then,
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-122.png)
120 + √3 X = 120*3
120 + √3 X = 360
√3 X = 360 – 120
√3 X = 240
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-123.png)