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 & explanation
Correct answer: option 3
Formula to be used here,
Perimeter = 2\(\Pi \)R × \(\frac{angle}{360}\)
Let the length of tree be L meters
According to the question,
⇒ 2\(\Pi \)L × \(\frac{18}{360}\) = 44
⇒ \(\frac{44}{7}\) × \(\frac{18}{360}\) = 44
⇒ L = 140m.