Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. right triangle with hypotenuse length 14 and degrees 90, 33, and 57.
Using trigonometry, we can determine the length of the sides of the right triangle.
From the information given, we know that one angle is 90 degrees, another angle is 33 degrees, and the third angle must be 57 degrees (since angles in a triangle add up to 180 degrees).
Let x be the length of the side opposite the 33 degree angle.
Using the sine function, we can set up the following equation:
sin(33 degrees) = x/14
x = 14 * sin(33 degrees)
x ≈ 7.6
Therefore, the value of x is approximately 7.6.