![The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?](https://www.gkseries.com/blog/wp-content/uploads/2023/07/The-angle-of-elevation-of-the-top-of-a-tower-at-a-point-X-is-30°.-On-walking-30-m-towards-the-tower-if-the-angle-of-elevation-becomes-60°-at-point-Y-find-the-height-of-the-tower.jpg)
Question | The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower? | |
Type | multiple_choice | |
Option | 26 m | correct |
Option | 28 m | incorrect |
Option | 29 m | incorrect |
Option | 30 m | incorrect |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-110.png)
Let AB be the height of tower and XA be the distance between point X and base of tower.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-111.png)
XA = 3XA – 90
– 2XA = – 90
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-112.png)
Put the value of XA in equation (1) to find AB (height of tower).
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-113.png)