Question

Find the value of y.

Question 18 options:

A)

9.850

B)

18.610

C)

65.825

D)

124.365

Answer 1

`\Huge\boxed{B.18.610}`

Explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

`tan= (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=(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

`(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