Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

A kite is flying at a height of 123 m. The thread attached to it is assumed to be stretched straight and makes an angle of \({60}^\circ\) with the level ground. The length of the string is (nearest to a whole number):

Options:

140 m

139 m

142 m

138 m

Correct Answer:

142 m

Explanation:

⇒ sin\({60}^\circ\) = \(\frac{123}{AC}\)

⇒ \(\frac{√3}{2}\) = \(\frac{123}{AC}\)

AC = \(\frac{123 × 2}{√3}\) = 142 m.

Therefore, length of string is near to 142 m.