![The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle](https://www.gkseries.com/blog/wp-content/uploads/2024/04/The-top-of-two-trees-of-height-75-metres-and-45-metres-are-connected-by-a-wire.-If-the-rope-makes-an-angle.jpg)
The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle with the horizontal whose tangent is 6/13 metres, then what is the distance (in metres) between the two trees?
(a) 60
(b) 24
(c) 55
(d) 65
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-241-667x1024.png)
6→ 30 (75 – 45) [GIVEN TOTAL HEIGHT AS 75 IN QUES]
1→ 5 13 → 65 cm.