A kite is flying at a height of 45m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string assuming that there is no slack in the string.

Let C be the position of the kite above the ground such that it subtends an angle of 60° at point A on the ground. Let the length of the string be AC = l m. Given, BC = 45m and ∠BAC = 60°. In ΔABC, sin60° = BC/AC ⇒ √3/2 = 45/l ⇒ l = 45 × 2/√3 = 90/√3 = 30√3 So, the length of the string is 30√3 m.