## 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
$x$
. We can find
$x$
using simple trigonometry. Consider the triangle below.

$cos 60 = \frac{adjacent}{hypotenuse}$

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

$6x-3 = 2(2x+4)$

$6x-3= 4x+8$

$6x-4x= 8+3$

$2x=11 \rightarrow x= \frac{11}{2}$