Answer:
17.99
Step-by-step explanation:
Trig Ratios:
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)
Recall that sin = opposite over hypotenuse
That being said we want to create an equation to solve for w
[tex]sin(40)=\frac{w}{28}[/tex]
Now we solve for w
Step 1 multiply each side by 28
[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]
we're left with w = 17.99
