Question

Find the value of y.

Answer 1

Answer:

$\Huge\boxed{B.18.610}$

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

$tan= \frac{opposite}{adjacent}$

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...

$tan28=\frac{y}{35}$

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

$\frac{y}{35} =y\\tan28*35=35tan28$

now we let the calculator do the rest of the work

$35tan(28)=18.60983011$

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B