![The angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is?](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-1.jpg)
Question | The angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is? | |
Type | multiple_choice | |
Option | 45° | correct |
Option | 30° | incorrect |
Option | 60° | incorrect |
Option | 90° | incorrect |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-116.png)
Let ∠BAC = θ
Let height of pole is h and length of the shadow is L.
As per question L = h
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-117.png)
tan θ = 1 So, when tan θ is equal to 1 the angle will be 45° (Option A)