Question

What are the values of x and y? ​

Answer 1

Answer

the one in the bottom right

Step-by-step explanation:

Answer 2

Answer:

option 2

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos30° = $\frac{\sqrt{3} }{2}$ , sin30° = $\frac{1}{2}$

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{20\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 60 ( divide both sides by 2 )

x = 30

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sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{y}{20\sqrt{3} }$ = $\frac{1}{2}$ ( cross- multiply )

2y = 20$\sqrt{3}$ ( divide both sides by 2 )

y = 10$\sqrt{3}$