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.
\[cos 60 = \frac{adjacent}{hypotenuse}\]
\[\frac{1}{2} = \frac{2x+4}{6x-3}\]
\[6x-3 = 2(2x+4)\]
\[6x-3= 4x+8\]
\[6x-4x= 8+3\]
\[2x=11 \rightarrow x= \frac{11}{2}\]
