Question

What is the value of x? Responses 12√2 4√3 12 4

Answer 1

x = 4
`√(3)`

Explanation:

using the sine ratio in the right triangle and the exact value

sin60° =
`(√(3) )/(2)`

sin60° =
`(opposite)/(hypotenuse)` =
`(x)/(8)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 8
`√(3)` ( divide both sides by 2 )

x = 4
`√(3)`