Question

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

Answer 1

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

$Sin(30)=\cfrac{y}{6\sqrt{3} }$

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

$\sqrt{3}y=9$

$\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}$

$y=3\sqrt{3}$

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$Cos(30)=\cfrac{x}{6\sqrt{3} }$

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

$\sqrt{3}x=9\sqrt{3}$

$\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}$

$x=9$

Therefore, x=9 and y=3√(3)

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