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Sagot :

Here , we are going to use Trigonometric ratios.

In given right angled ∆ ;

[tex]{:\implies \quad \sf \dfrac{x}{18}=\sin (60^{\circ}) \quad \bigg\{ \because \sin (\theta)=\dfrac{P}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18\sqrt{3}}{2} \quad \bigg\{\because \sin (60^{\circ})=\dfrac{\sqrt{3}}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad x=9\sqrt{3} \: units}[/tex]

Also;

[tex]{:\implies \quad \sf \dfrac{y}{18}=\cos (60^{\circ}) \quad \bigg\{ \because \cos (\theta)=\dfrac{B}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18}{2} \quad \bigg\{\because \cos (60^{\circ})=\dfrac{1}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad y=9 \: units}[/tex]

Hence , The required values for x and y are 9√3 and 9 units