Question

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

Answer 1

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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,

• $\cos(30) = \dfrac{x}{y}$

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

• $x = \dfrac{14 \sqrt{3} }{2}$

• $x = 7 \sqrt{3}$

• $x = 12.12 \: \: units$

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Answer 2

x = 7√3 & y = 14

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