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  • 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°. Find the length of the string, assuming that there is no slack

5. 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°. Find the length of the string, assuming that there is no slack in the string.

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                                              A

Given that,
The length of AB = 60 m and the inclination of the string with the ground at point C is \angle ACB = 60^o.
Let the length of the string AC be l.
According to question,
In right triangle \DeltaCBA,
\sin 60^{o} = \frac{AB}{AC} = \frac{60}{l}
\frac{\sqrt{3}}{2} = \frac{60}{l}
The value of length of the string (l)  is 40\sqrt{3} = 40(1.732) = 69.28 m
Hence the length of the string is 69.28 m.

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