littlemisshelper
littlemisshelper littlemisshelper
  • 23-05-2018
  • Mathematics
contestada

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

To the nearest hundredth what is the value of x Show your work class=

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CarlosRCR
CarlosRCR CarlosRCR
  • 23-05-2018
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 [tex]x[/tex] and the hypotenuse is 55, so:
[tex]cos(41)= \frac{x}{55} [/tex]

We solve for [tex]x[/tex]:
[tex]x=55cos(41)=41.51[/tex]

The answer is 41.51.
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