Respuesta :

Answer:

[tex]\Huge\boxed{B.18.610}[/tex]

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

[tex]tan= \frac{opposite}{adjacent}[/tex]

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

[tex]tan28=\frac{y}{35}[/tex]

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

[tex]\frac{y}{35} =y\\tan28*35=35tan28[/tex]

now we let the calculator do the rest of the work

[tex]35tan(28)=18.60983011[/tex]

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B

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