Answer:
y = 4.4 cm
Explanation:
Notice that we are in the presence of a right angle triangle. were we know the angle
, the side opposite that angle (12 cm), and we need to find the value of the side adjacent to the
angle.
the trigonometric relation between opposite and adjacent sides is given by the tangent of the angle as shown:
![tan(70^o)=(opposite)/(adjacent) =(12\,cm)/(y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tmntfmcihz0qjfz2ehucr2tnc11z1jtj46.png)
so, we can solve for the unknown "y" in this equation as follows:
![tan(70^o) =(12\,cm)/(y) \\y*tan(70^o)=12\,cm\\y=(12)/(tan(70^o)) cm\\y=4.3676\, cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vzfpec0dilijo1wmmkwbjldabjlxzs4bya.png)
which rounded to the nearest tenth as requested gives: 4.4 cm