Question

To the nearest hundredth, what is the value of x? Show your work.

Answer 1

To solve this, we'll use the trigonometric function called cosine.

The cosine of an angle -in a right triangle-, is equal to the side adjacent to the angle over the hypotenuse of the triangle.

Given the angle 41, its adjacent side is
`x` and the hypotenuse is 55, so:

`cos(41)= (x)/(55)`

We solve for
`x`:

`x=55cos(41)=41.51`

The answer is 41.51.