Answer:
6 sqrt(2)
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 45 = 6 /x
Multiply each side by x
x sin 45 = 6
Divide each side by sin 45
x = 6 / sin 45
We know that sin 45 = sqrt(2)/2
x = 6 / (sqrt(2) /2)
x = 12/ sqrt(2)
Multiply by sqrt(2)/ sqrt(2)
x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))
x = 12 sqrt(2)/2
x = 6 sqrt(2)
