jtorres00035 jtorres00035
  • 18-05-2022
  • Mathematics
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Find the length of side a in simplest radical form with a rational denominator.

Find the length of side a in simplest radical form with a rational denominator class=

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livinqq1
livinqq1 livinqq1
  • 18-05-2022

Answer:

x = 5.5

Step-by-step explanation:

Using a trig ratio, you can use sin, which is opposite over hypotenuse. [tex]sin(30)\textdegree=\frac{x}{11}[/tex]

Now, multiply both sides by 11

[tex]11\cdot sin(30)\textdegree=x[/tex]

this simplifies to x = [tex]\frac{11}{2}[/tex] or 5.5.

Since sin30 is [tex]\frac{\pi}{6}[/tex] radians, it can be written as [tex]\frac{11\pi}{6}[/tex].

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