Question

Not sure how to do this can you help me ? ​

Answer 1

Here , we are going to use Trigonometric ratios.

In given right angled ∆ ;

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

`{:\implies \quad \sf x=(18√(3))/(2) \quad \bigg\{\because \sin (60^(\circ))=(√(3))/(2)\bigg\}}`

`{:\implies \quad \bf \therefore \quad x=9√(3) \: units}`

Also;

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

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

`{:\implies \quad \bf \therefore \quad y=9 \: units}`

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