Question

Given side AB in triangle ABC has length x, what is the length of side AC?

Answer 1

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

$\rm sin\theta = \dfrac{Opposite }{Hypotenuse}$

Now, put the known values in the above equation.

$\rm sin30^\circ = \dfrac{x}{AC}$

$\rm \dfrac{1}{2}=\dfrac{x}{AC}$

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835