The string of akite is 100 m long and its makes an angle of 60°

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70.
The string of akite is 100 m long and its makes an angle of 60° with the horizontal. Find the height of the kite. Assume that there is no slackness in the string.


Lenght of string OA = 100 m.
Angle of elevation = 60°. Let the heigth of the kite be AB = h m.


Lenght of string OA = 100 m.Angle of elevation = 60°. Let the heigth
In right triangle OBA, we have

sin space 60 degree space equals space AB over OA
rightwards double arrow space space space space fraction numerator square root of 3 over denominator 2 end fraction equals straight h over 100
rightwards double arrow space space space space straight h space equals space 50 square root of 3
Thus, the height of the kite is 50 square root of 3 space straight m.

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