Question

What is the value of x?
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your answer in the box.

Answer 1

x = 6

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