What is the value of x?

x = 4 sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = 4/x

Multiply x to each side

x sin 45 = 4/x *x

x sin 45 = 4

Divide each side by sin 45

x sin 45 / sin 45 = 4 /sin 45

x = 4/ sin 45

We know sin 45 = sqrt(2)/2

x = 4/ sqrt(2) /2

x = 8/ sqrt(2)

We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)

x = 8/ sqrt(2) * sqrt(2)/sqrt(2)

x = 8 * sqrt(2) /2

x = 4 sqrt(2)

Step-by-step explanation:

hope it's helpful

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step-by-step explanation: