Answer:3.6cm
Step-by-step explanation:
tan of an angle is defined as the ratio of the opposite and adjacent.
For the angle [tex]20^{0}[/tex],the adjacent side is of length [tex]10cm[/tex] and opposite side is of length [tex]x[/tex].
Let the length of opposite side be [tex]o[/tex] and length of adjacent be [tex]a[/tex].
[tex]tan(20^{0})=\frac{o}{a}[/tex]
[tex]=\frac{x}{10}[/tex]
Approximate value of [tex]tan(20^{0})[/tex] is [tex]0.364[/tex]
So,[tex]\frac{x}{10}=0.364[/tex]
So,[tex]x=3.6cm[/tex]
