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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°. Find the length of the string, assuming that there is no slack in the string.
Solution
Let K be the kite and the string is tied to point P on the ground.
In ΔKLP,
`("KL")/("KP") = sin 60°`
`60/("KP") = sqrt3/2`
KP = `120/sqrt3`
KP = `40sqrt3` m
Hence, the length of the string is `40sqrt3` m.
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