Question

Find the value of x rounded to the nearest tenth

Answer 1

cos28=11/x
x=11/cos28
it will be c

Answer 2

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

`\cos28^\circ=(11)/(x)\\\\\\\Rightarrow 0.8829=(11)/(x)\\\\\\\Rightarrow x=(11)/(0.8829)\\\\\Rightarrow x=12.4589.`

Rounding to nearest tenth, we get

x = 12.5 units.

Thus, the required value of x is 12.5 units.

Option (C) is CORRECT.