![A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/A-ladder-is-leaning-against-a-wall.-It-makes-a-60°-angle-with-the-wall.-If-the-distance-between-foot-of-ladder-and-wall-is-5.5-meters-find-the-length-of-the-ladder.jpg)
Question | A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder. | |
Type | multiple_choice | |
Option | 9.5m | incorrect |
Option | 10m | incorrect |
Option | 10.5m | incorrect |
Option | 11m | correct |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-106.png)
Let BC be the wall and AC be the ladder.
∠BAC = 60° and AB = 5.5 meter
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-107.png)
AC = 2 * AB
= 2 * 5.5 = 11 meters (Option D)