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):
Answer & explanation
Correct answer: option 3

⇒ 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.