Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

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.

Options:

120 metres

210 metres

140 metres

70 metres

Correct Answer:

140 metres

Explanation:

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.