![The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?](https://www.gkseries.com/blog/wp-content/uploads/2023/07/The-tops-of-two-poles-are-connected-by-a-wire.-The-heights-of-the-poles-are-10-m-and-14-m-respectively.-If-the-wire-makes-a-30°-angle-with-the-horizontal-find-the-length-of-the-wire.jpg)
Question | The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire? | |
Type | multiple_choice | |
Option | 7 m | incorrect |
Option | 7.5m | incorrect |
Option | 8m | correct |
Option | 8.5m | incorrect |
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-114.png)
Let AD and BE, be the poles of height 10 m and 14 m respectively.
DE is the wire of length = L
DC is parallel to AB so AD = BC = 10 m
So, CE = BE – BC = 14 – 10 = 4 m
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-115.png)