![The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?](https://www.gkseries.com/blog/wp-content/uploads/2023/07/The-angle-of-elevation-of-the-top-of-a-tower-of-height-h-meter-at-point-Q-is-θ.-If-the-distance-between-point-Q-and-base-of-the-tower-is-equal-to-the-height-of.jpg)
Question | The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ? | |
Type | multiple_choice | |
Option | 60° | incorrect |
Option | 30° | incorrect |
Option | 45° | correct |
Option | any acute angle | incorrect |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-145.png)
Let the height of tower PR be h.
PQ = h as point Q is at a distance of h meter from the base of tower.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-146.png)
tan θ=1 tanθ= 45° ( Option C)