Simple Trigonometry With an Angle Given an Sides Given in Terms of x

Suppose we have a right angled triangle with an angle given and two sides given in terms of  
. We can find  
  using simple trigonometry. Consider the triangle below.

\[cos 60 = \frac{adjacent}{hypotenuse}\]

\[\frac{1}{2} = \frac{2x+4}{6x-3}\]

\[6x-3 = 2(2x+4)\]

\[6x-3= 4x+8\]

\[6x-4x= 8+3\]

\[2x=11 \rightarrow x= \frac{11}{2}\]

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