NaevaE562254 NaevaE562254
  • 25-10-2022
  • Mathematics
contestada

To the nearest hundredth, what is the value of x? X 40°

Respuesta :

JullietteF384571 JullietteF384571
  • 25-10-2022

The given triangle is a right angle triangle,

Apply the trignometry ratio of tan

[tex]\tan \emptyset=\frac{Perpendicular}{Base}[/tex]

From the given figure we have,

Perpendicular=x and base=72 and angle =40 degree

[tex]\begin{gathered} \tan 40^{\circ}=\frac{x}{72} \\ 0.839=\frac{x}{72} \\ x=0.839\times72 \\ x=60.408 \\ x=60.41 \end{gathered}[/tex]

So the value of x is 60.41

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