cooldog3766 cooldog3766
  • 04-03-2019
  • Mathematics
contestada

Find the value of x. round to the nearest degree.​

Find the value of x round to the nearest degree class=

Respuesta :

gmany
gmany gmany
  • 09-03-2019

Answer:

[tex]\large\boxed{x=15.983\ m\approx16\ m}[/tex]

Step-by-step explanation:

Use tangent:

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=x\\adjacent=22\ m\\\alpha=36^o[/tex]

[tex]\tan36^o\approx0.7265[/tex]

Substitute:

[tex]\dfrac{x}{22}=0.7265[/tex]

[tex]\dfrac{x}{22}=\dfrac{7265}{10000}[/tex]          cross multiply

[tex]10000x=159830[/tex]           divide both sides by 10000

[tex]x=15.983[/tex]

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