Find the value of x rounded to the nearest tenth

 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

Rounding to nearest tenth, we get

x = 12.5 units.

Thus, the required value of x is 12.5 units.

Option (C) is CORRECT.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,