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) = (7)/(y)`

• 
  `(1)/(2) = (7)/(y)`

• 
  `y = 7 * 2`

• 
  `y = 14 \: \: units`

Now,

• 
  `\cos(30) = (x)/(y)`

• 
  `( √(3) )/(2) = (x)/(14)`

• 
  `x = (14 √(3) )/(2)`

• 
  `x = 7 √(3)`

• 
  `x = 12.12 \: \: units`

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