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A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. - Mathematics

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प्रश्न

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

बेरीज
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उत्तर

It can be observed from the figure that AB is the pole.

In ΔABC,

`"AB"/"AC"` = sin 30°

`"AB"/(20) =1/2`

AB = `20/2`

= 10

Therefore, the height of the pole is 10 m.

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पाठ 9: Some Applications of Trigonometry - Exercise 9.1 [पृष्ठ २०३]

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एनसीईआरटी Mathematics [English] Class 10
पाठ 9 Some Applications of Trigonometry
Exercise 9.1 | Q 1 | पृष्ठ २०३
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