Q21 of 46 Page 1

21 a kite is flying at a height of 45 m 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 60o. Find the length of the string assuming that there is no slack in the string.

We have


Given: Height of the kite above the ground is AB = 45 cm, angle of the inclination of the string with the ground is ∠ACB = 60°


We need to find AC, that is, the length of the string.


So in ∆ABC,


[∵, ]


⇒


⇒ √3 AC = 45 × 2


⇒ √3 AC = 90


⇒ AC =


⇒ AC = 30√3 = 30 × 1.73 = 51.9


Hence, the length of the string is 51.9 cm.


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