Question

What are the values of x and y? ​

Answer 1

option 2

Explanation:

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

cos30° =
`(√(3) )/(2)` , sin30° =
`(1)/(2)`

cos30° =
`(adjacent)/(hypotenuse)` =
`(x)/(20√(3) )` =
`(√(3) )/(2)` ( cross- multiply )

2x = 60 ( divide both sides by 2 )

x = 30

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sin30° =
`(opposite)/(hypotenuse)` =
`(y)/(20√(3) )` =
`(1)/(2)` ( cross- multiply )

2y = 20
`√(3)` ( divide both sides by 2 )

y = 10
`√(3)`

Answer 2

the one in the bottom right

Explanation: