Question

What are the values of the variables in the triangle below?

Answer 1

D) x=9 ; y=3√(3)

Explanation:

`Sin(30)=\cfrac{y}{6√(3) }`

`\cfrac{18y}{6√(3)}=18\sin \left(30^(\circ \:)\right)`

`√(3)y=9`

`\cfrac{√(3)y}{√(3)}=\cfrac{9}{√(3)}`

`y=3√(3)`

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`Cos(30)=\cfrac{x}{6√(3) }`

`\cfrac{18x}{6√(3)}=18\cos \left(30^(\circ \:)\right)`

`√(3)x=9√(3)`

`\cfrac{√(3)x}{√(3)}=\cfrac{9√(3)}{√(3)}`

`x=9`

Therefore, x=9 and y=3√(3)

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