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Find the value 'x', if: - Mathematics

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प्रश्न

Find the value 'x', if:

बेरीज

उत्तर


In right ΔACB,

tan30° = `"BC"/"AC"`

⇒ `(1)/sqrt(3) = (10)/"AC"`
⇒ AC = `10sqrt(3)"cm"`
Now,
In right ΔACD,

sin x = `"AC"/"AD"`

⇒ sin x = `(10sqrt(3))/(20)`

⇒ sin x = `sqrt(3)/(2)`
⇒ sin x = sin60°
⇒ x = 60°.

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Trigonometric Equation Problem and Solution
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पाठ 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 9.4
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