Answer:
y = 4.4 cm
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle. were we know the angle [tex]70^o[/tex], the side opposite that angle (12 cm), and we need to find the value of the side adjacent to the [tex]70^o[/tex] angle.
the trigonometric relation between opposite and adjacent sides is given by the tangent of the angle as shown:
[tex]tan(70^o)=\frac{opposite}{adjacent} =\frac{12\,cm}{y}[/tex]
so, we can solve for the unknown "y" in this equation as follows:
[tex]tan(70^o) =\frac{12\,cm}{y} \\y*tan(70^o)=12\,cm\\y=\frac{12}{tan(70^o)} cm\\y=4.3676\, cm[/tex]
which rounded to the nearest tenth as requested gives: 4.4 cm
