What is the value of x?
6
6√2
12
12√2
sin θ = opposite / hypotenuse
sin (45º) = 6√2 / x
Multiply both sides by x.
x sin (45º) = 6√2
Divide both sides by sin(45º).
x = 6√2 / sin (45º)
Replace sin (45º) with √2/2 and simplify.
x = 6√2 / (√2/2)
x = 6√2 * 2/√2
x = 12
