Question

Determine the value of x.

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Answer 1

The choice D)

`2 √(2)`

Explanation:

Sin = Opposite/ hypotenuse

`\sin(45) = (x)/(4) \\ \\ (1)/( √(2) ) = (x)/(4) \\ \\ √(2) x = 4 \\ \\ x = (4)/( √(2) ) \\ \\ x = (4)/( √(2) ) * ( √(2) )/( √(2) ) \\ \\ x = (4 √(2) )/(2) = 2 √(2) \\ \\ \\ x = 2√(2)`

I hope I helped you^_^

Answer 2

The answer is D.

Explanation: