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 ?

194 190 193 195

195

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