Question:
A kite is flying at a height of 60 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 60 degree . Find the length of the string, assuming that there is no slack in the string.
Answer:
Let AC is the length of the string.
Now in triangle ABC,
sin 60° = AB/AC
=> √3/2 = 60/AC (since sin 60° = √3/2)
=>AC * √3 = 60*2
=>AC * √3 = 120
=>AC = 120/√3
=>AC = (120*√3)/(√3*√3) (√3 is multiplied by both numerator and denominator)
=>AC = (120*√3)/3
=>AC = 40*√3 m
So length of string is 40*√3 m
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