Respuesta :

Answer:

[tex]y=39\degree[/tex]

Step-by-step 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.


[tex] \tan(y)=\frac{8}{10}[/tex]

We solve for y to get,

[tex]y=arctan(\frac{4}{5})[/tex]

We evaluate to obtain,

[tex]y=38.66[/tex]


[tex]y=39\degree[/tex] to the nearest degree


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