HannaleighP293321 HannaleighP293321
  • 25-10-2022
  • Mathematics
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Write the trig equation needed to solve for X. Then solve for X. Round answers to the nearest tenth.

Write the trig equation needed to solve for X Then solve for X Round answers to the nearest tenth class=

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KinsieD439897 KinsieD439897
  • 25-10-2022

In order to solve for x, we need to use the tangent relation of the angle 48°.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

[tex]\begin{gathered} \tan (48\degree)=\frac{x}{17} \\ 1.1106=\frac{x}{17} \\ x=1.1106\cdot17 \\ x=18.88 \end{gathered}[/tex]

Rounding to the nearest tenth, we have x = 18.9.

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