MathematicsA kite is flying at a height of 80 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 ground is 60 ° ,   then the length of the string is

A kite is flying at a height of 80 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 ground is 60 ° ,   then the length of the string is


  1. A
    91.37 m
  2. B
    92.37 m
  3. C
    93.37 m
  4. D
    94.37 m 

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    Solution:

    It is given that a kite is flying at a height of 80 m   above the ground and the inclination of the string with ground is 60 °  .
    Let DH be the string length of kite i.e., DH=l  .
    Let DG be the height of the kite from ground i.e., DG=80m  .
    In ΔDGH  ,
    sin 60 ° = DG DH   ⇒ 3 2 = 80 l   ⇒l=92.37m  
    Hence, the length of the string is 92.37m  .
    Therefore, option 2 is correct.
     
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