Respuesta :

Answer:

x = 6

Step-by-step explanation:

Triangle BCD: cos(60) = x/BC => BC = x/cos(60)

Triangle ABC: sin(45) = BC/6√2 => BC = (6√2)sin(45)

so x/cos(60) = (6√2)sin(45)

x/(1/2) = (6√2)(√2/4)

x/2 = 12/4

x = 2(3)

x = 6