Question

HELPPPP
what are the values of the variable in the triangle below?

Answer 1

Its is the second option

Answer 2

2nd option

Explanation:

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

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

cos30° =
`(adjacent)/(hypotenuse)` =
`(x)/(12√(3) )` =
`(√(3) )/(2)` ( cross- multiply )

2x = 12
`√(3)` ×
`√(3)` = 36 ( divide both sides by 2 )

x = 18

and

sin30° =
`(opposite)/(hypotenuse)` =
`(y)/(12√(3) )` =
`(1)/(2)` ( cross- multiply )

2y = 12
`√(3)` ( divide both sides by 2 )

y = 6
`√(3)`