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A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder. - Mathematics

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प्रश्न

A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.

योग

उत्तर


Suppose the length of ladder is x m.
From the figure, we have

`(18)/x` = sin30°     ....`[∵ sin = "Perpendicular"/"Hypotenuse"]`

⇒ `(18)/x = (1)/(2)`
⇒ x = 36
Thus, the length of ladder is 36m.

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Trigonometric Equation Problem and Solution
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 18
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