Find the value of x. Round the length to the nearest tenth. Right triangle with side length 14 and degrees 90, 33, and 57. find x

To find the value of x, we can use the trigonometric functions sine, cosine, and tangent.

Given that the right triangle has side length 14 and angles of 90, 33, and 57 degrees, we can see that the side across from the 57-degree angle is x.

We can use the sine function to find x:

sin(57°) = opposite/hypotenuse
sin(57°) = x/14

Rearranging the equation:
x = 14 * sin(57°)
x ≈ 11.7

Therefore, the value of x is approximately 11.7 when rounded to the nearest tenth.