Answer:
Step-by-step explanation:
The side y is across from the angle Y which is 68 degrees. Angle Y is next to both the hypotenuse (14 units) and adjacent to the side XY (5 units). If we are finding side y, we need to use one of the trig ratios that relates the angle Y to the side across from it. That would be either the sin of Y which is the side opposite y) over the hypotenuse (14) or the tan of Y which is the side opposite over the side adjacent. Either one will get you the side lengths within a tenth or hundredth of each other. Let's do both, just because. First the sine:
[tex]sin(68)=\frac{y}{14}[/tex] and
14sin(68) = y so
y = 12.98 and rounded to the nearest tenth is 13.0
Now the tangent:
[tex]tan(68)=\frac{y}{5}[/tex] and
5tan(68) = y so
y = 12.37 and rounded to the nearest tenth is 12.4.
As an integer, your answer would be 13; as a decimal it would be the 12.4
Apparently, either is fine.
