Question

Find x. 2 √6 6 √2 12 8

Answer 1

The Answer is indeed:  6√2

Answer 2

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)