A kite is flying at a height of 138 m above the ground. It is attached to a string inclined at \({45}^\circ\) to the horizontal. What is the approximate length (in m) of the string ?
Answer & explanation
Correct answer: option 4

⇒ sin\({45}^\circ\) = \(\frac{138}{AC}\)
⇒ \(\frac{1}{√2}\) = \(\frac{138}{AC}\)
⇒ AC = 138√2 = 195 m.
Therefore, length of the string is 195m.