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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°. - Mathematics

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प्रश्न

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.

योग

उत्तर

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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अध्याय 9: Some Applications of Trigonometry - Exercise 9.1 [पृष्ठ २०४]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 9 Some Applications of Trigonometry
Exercise 9.1 | Q 5 | पृष्ठ २०४

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