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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 in the string. - Mathematics

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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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 = 40sqrt3 m`

Hence, the length of the string is `40sqrt3` m

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APPEARS IN

NCERT Class 10 Maths
Chapter 9 Some Applications of Trigonometry
Exercise 9.1 | Q 5 | Page 204
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