Find the value of y.
Question 18 options:
A)
9.850
B)
18.610
C)
65.825
D)
124.365

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