Answer: 33.49
Step-by-step explanation:
By the given information, the hypotenuse of the triangle = 58 units
The perpendicular side of the right triangle = 32 units which is the side opposite to the angle x.
We know that
[tex]\sin x=\dfrac{\text{side opposite to x}}{\text{Hypotenuse}}\\\\\Rightarrow\ \sin x =\dfrac{32}{58}\\\\\Rightarrow\ x=\sin^{-1}\dfrac{32}{58}[/tex]
Using calculator, we have
[tex]x=33.48537662\approx33.49^{\circ}[/tex]
Hence, the value of x = 33.49
