find the value of x

trigonometry
12
64°

The value of x can be found using trigonometry. The given angle is 64° and the side opposite to the angle is 12. We need to find the adjacent side (x).

Using the sine ratio:
sin(64°) = opposite/hypotenuse
sin(64°) = 12/x

Rearranging the equation:
x = 12/sin(64°)

Calculating the value of x:
x = 12/sin(64°) = 13.24 (approximately)

Therefore, the value of x is approximately 13.24.