AliraM42106 AliraM42106
  • 26-10-2022
  • Mathematics
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Which expressions can be used to find the value of x in the triangle shown? Write the value of x to the nearest tenthx = ____.

Which expressions can be used to find the value of x in the triangle shown Write the value of x to the nearest tenthx class=

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CarmiaI152368 CarmiaI152368
  • 26-10-2022

To find x we need to use the tangent function, remember that this is defined as:

[tex]\tan \theta=\frac{\text{opp}}{\text{adj}}[/tex]

For the angle of 60° then we have:

[tex]\begin{gathered} \tan 60=\frac{20}{x} \\ x=\frac{20}{\tan 60} \end{gathered}[/tex]

Therefore the expression we can use is option C.

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