Question

What is the value of X to the nearest tenth in the triangle below? the triangle is not drawn to scale

Answer 1

Answer:

x = 13.9

Step-by-step explanation:

With respect to the angle shown, we have the hypotenuse (the side opposite the 90 degree angle) and we have the adjacent side (which is the side labeled x). thus we can use the ratio "cosine" to solve this.

The ratio of cosine is defined as:

$Cos\theta=\frac{Adjacent}{Hypotenuse}$

Where adjacent and hypotenuse are the respective sides and $\theta$ is the angle

Thus, we can now write:

$Cos\theta=\frac{Adjacent}{Hypotenuse}\\Cos(35)=\frac{x}{17}\\Cos(35)*17=x\\x=13.9$

The first answer choice is right, x = 13.9