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A boy flying a kite in Ludhiana has let out taut string so that the kite is 20 m above the ground, the string making an angle of 30° with the horizontal ground.
He then lets out more string, keeping the same angle of 30°, until the kite is 35 m above the ground.
How much extra string (in m) has he let out? (Take the hand holding the string to be at ground level.)

Class 10Heights and DistancesTrigonometry
  • A15
  • B30
  • C70
  • D

Step-by-Step Solution

sin , so string = 2 height. First: m. Then: m. Extra string = 70 - 40 = 30 m. The rise in height alone (15 m) is not the extra string, and 70 m is the new total.
Answer: B) 30

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