Answer: The correct option is (C) 12.5 units.
Step-by-step explanation: We are given to find the value of x rounded to the nearest tenth.
From the figure, we see a right-angled triangle with one acute angle measuring 28°.
With respect to the angle with measure 28°, the length of the base is 11 units and the length of the hypotenuse is x units.
So, from trigonometric ratios, we have
[tex]\cos28^\circ=\dfrac{11}{x}\\\\\\\Rightarrow 0.8829=\dfrac{11}{x}\\\\\\\Rightarrow x=\dfrac{11}{0.8829}\\\\\Rightarrow x=12.4589.[/tex]
Rounding to nearest tenth, we get
x = 12.5 units.
Thus, the required value of x is 12.5 units.
Option (C) is CORRECT.
