Answer:
![y=39\degree](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qiwtqnmfpt1a16afmwd5br6vzscpjnt03c.png)
Explanation:
The given triangle is a right angle triangle .
The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.
The value of y can be calculated using the tangent ratio.
![\tan(y)=(8)/(10)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/37ualjnzl9keinqj4gdas0hc6jeh212y0c.png)
We solve for y to get,
![y=arctan((4)/(5))](https://img.qammunity.org/2019/formulas/mathematics/middle-school/cmouiuyqsodw3lm0gllevatmo448hfyxpr.png)
We evaluate to obtain,
![y=38.66](https://img.qammunity.org/2019/formulas/mathematics/middle-school/pduwxt0sxbme1f7hnwo5czul4b0u5i4nou.png)
to the nearest degree