Question

Determine the value of x.

A. 4√2

B. 2/√2

C. 2√2

D. 2

Answer 1

`\huge\boxed{\sf C.}`

Explanation:

sin 45 = opposite / hypotenuse

Where opposite = x , hypotenuse = 4

sin 45 = x / 4

`\sf (√(2) )/(2 ) = (x)/(4) \\\\x = (4√(2) )/(2) \\\\x = 2√(2) \\\\\rule[225]{225}{2}`

Hope this helped!

~AH1807