lisamyers224
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  • 15-11-2021
  • Mathematics
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What is the value of x in the triangle?

What is the value of x in the triangle class=

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DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 15-11-2021

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

  • [tex] \tan(30) = \dfrac{x}{15} [/tex]

  • [tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

  • [tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

  • [tex]x = 5 \sqrt{3} [/tex]

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