Question

Slove for x please. ​

Answer 1

The value of x is 4.

Begin by using trig to determine the length of the line LJ.

sin(x) = (opposite)/(hypotenuse)

Solve for LJ:

`sin(30) = (LJ)/(8√(2) )`

`sin(30) * 8√(2) = LJ`

`LJ = 4√(2)`

Solve for LM:

`sin(45) = (LM)/(4√(2) )`

`sin(45) * 4√(2) = LM`

LM is 4.

Therefore the value of x is 4.