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Mathematics

Find 'x', if :

Find 'x', if : Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

Trigonometric Identities

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Answer

sin 60°=PerpendicularHypotenuse32=20xx=20×23x=403x=23.1\text{sin 60°} = \dfrac{Perpendicular}{Hypotenuse}\\[1em] ⇒ \dfrac{\sqrt3}{2} = \dfrac{20}{x}\\[1em] ⇒ x = \dfrac{20 \times 2}{\sqrt3}\\[1em] ⇒ x = \dfrac{40}{\sqrt3} \\[1em] ⇒ x = 23.1

Hence, x = 23.1.

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