Answer:
62.77 cm.
Step-by-step explanation:
We have been given an image of a right triangle and we are asked to find the length of side y.
Since we know that tangent represents the relationship between the opposite and adjacent side of a right triangle.
We can see that x is opposite side and y is adjacent side to the 30 degree angle, so we will use tangent to find the length of side y.
[tex]\text{Tangent}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]tan(30^o)=\frac{x}{y}[/tex]
Upon substituting x=36.25 we will get,
[tex]tan(30^o)=\frac{36.25}{y}[/tex]
[tex]0.57735026919=\frac{36.25}{y}[/tex]
[tex]y=\frac{36.25}{0.57735026919}[/tex]
[tex]y=62.7868417743311038[/tex]
Upon rounding our answer to nearest hundredth we will get,
[tex]y\approx 62.77[/tex]
Therefore, the length of side y is 62.77 cm.
