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Artist 52 [7]
3 years ago
14

Find the value for the given variables. Give the variables in simplest radical form.

Mathematics
2 answers:
harina [27]3 years ago
5 0

x = 7√3 & y = 14

..................................

Svetach [21]3 years ago
3 0

\huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐  }}}

The given triangle is a right angled triangle,

so let's apply trigonometry here :

  • \sin(30)   =  \dfrac{7}{y}

  • \dfrac{1}{2}  =  \dfrac{7}{y}

  • y = 7 \times 2

  • y = 14 \:  \: units

Now,

  • \cos(30)  =  \dfrac{x}{y}

  • \dfrac{ \sqrt{3} }{2}  =  \dfrac{x}{14}

  • x =  \dfrac{14 \sqrt{3} }{2}

  • x = 7 \sqrt{3}

  • x = 12.12 \:  \: units

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

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<h3>Step-by-step explanation:</h3>

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