Question

I need help. Find the value of each variable.

Answer 1

x = 14√3

y = 7√3

Explanation:

By applying sine rule in the given triangle,

sin(60°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

`(√(3) )/(2)=(21)/(x)`

x =
`(42)/(√(3))`

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

`(1)/(2)=(y)/(x)`

`(1)/(2)=(y)/(14√(3))`

y = 7√3