1.

Find the length of the string of the flying kite which is at an angle of 60° from the ground and 75 meters above the ground​

Answer»

✬ String = 86.6 m ✬

Step-by-step explanation:

Given:

  • Angle of elevation made by KITE is 60°.
  • Distance of kite above the GROUND is 75 m.

To Find:

  • What is the length of string ?

Solution: Let in right ANGLED triangle at B ,

  • AB = Distance of kite from ground.
  • BC = Ground
  • AC = String

Now, in ∆ABC ,

  • AB = Perpendicular
  • BC = Base
  • AC = Hypotenuse
  • ∠ABC = 90°

\implies{\rm } sinθ = Perpendicular/Hypotenuse

\implies{\rm } SINC = AB/AC

\implies{\rm } sin60° = 75/AC

\implies{\rm } √3/2 = 75/AC

\implies{\rm } AC√3 = 75(2)

\implies{\rm } AC√3 = 150

\implies{\rm } AC = 150/√3

\implies{\rm } AC = 150/1.73

\implies{\rm } AC = 86.6

Hence, the length of string of kite is of 86.6 m.


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