Question

What is the value of X?

See attached for picture.

Answer 1

Answer:
`x=4`

Explanation:

Calculate the lenght of LJ as following:

`sin\alpha=(opposite)/(hypotenuse)`

Where:

`\alpha=30\°\\opposite:LJ\\hypotenuse=8√(2)`

Substitute values and solve for LJ. Then:

`sin(30\°)=(LJ)/(8√(2))\\LJ=8√(2)}*sin(30\°)\\LJ=4√(2)`

Calculate the lenght of x as following:

`sin\beta=(opposite)/(hypotenuse)`

Where:

`\beta=45\°\\opposite:x\\hypotenuse=4√(2)`

Substitute values and solve for x. Then:

`sin(45\°)=(x)/(4√(2))\\x=4√(2)}*sin(45\°)\\x=4√(2)`

`x=4`