A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18 degrees. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree.

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& \text{Arc length}=\frac{\theta }{180}\times \pi r\\ & \Rightarrow 44=\frac{18}{180}\times \frac{22}{7}\times r\\ & \Rightarrow r=140\text{m}\end{array}$$