Angle x is 54.3 degrees.
The diagram shows a right triangle with legs of 8 cm and 11 cm, and an unknown angle x.
We can use the tangent function to find angle x.
The tangent of an angle is equal to the length of the opposite leg divided by the length of the adjacent leg. In this case, the opposite leg is 11 cm and the adjacent leg is 8 cm.
tan(x) = 11 cm / 8 cm = 1.375
We can use a calculator to find the inverse tangent of 1.375, which is 54.29 degrees.
However, the question asks for the answer to 1 decimal place, so we round 54.29 degrees to 54.3 degrees.