Question

What is the value of x?

Answer 1

x=6
`√(3)`

Explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

`\sqrt{3`/2=x/12

do cross multiplication

2*x=12*
`√(3)`

x=12
`√(3)` /2

x=6
`√(3)`

Answer 2

6 sqrt(3) = x

Explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x