fadhilshamsudeen fadhilshamsudeen
  • 10-03-2024
  • Mathematics
contestada

find the equaiton of the line passing through (1,4) and inclined at an an angle of 60 with the positive direction of x axis

Respuesta :

profereyes12122
profereyes12122 profereyes12122
  • 10-03-2024

Answer:

[tex]y=\sqrt{3} x+2.27[/tex]

Step-by-step explanation:

[tex]m=tan(60^{0} )=\sqrt{3}[/tex]

      [tex]y-y_{1} =m(x-x_{1} )[/tex]

     [tex]x_{1} =1,y_{1} =4,m=\sqrt{3}[/tex]

[tex]y-4=\sqrt{3} (x-1)[/tex]

[tex]y-4=\sqrt{3} x-\sqrt{3}[/tex]

[tex]y=\sqrt{3} x-\sqrt{3} +4[/tex]

[tex]y=\sqrt{3} x+2.27[/tex]

Hope this helps.

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