Question : A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18°. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree. ( $\tan 18°$ = 0.3249).
Option 1: 120 metres
Option 2: 210 metres
Option 3: 140 metres
Option 4: 70 metres
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Correct Answer: 140 metres
Solution :
Let the length of the tree be $l$ metres.
According to the question,
$2\pi l×\frac{18°}{360°}=44$
⇒ $\frac{44l}{7}×\frac{1}{20}=44$
⇒ $l=140$ metres
Hence, the correct answer is 140 metres.
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