Answer:
17.99
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
![sin(40)=(w)/(28)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ht3f0o2scepbw9orpbzepfz0bga2xo7d5x.png)
Now we solve for w
Step 1 multiply each side by 28
![(w)/(28) *28=w\\sin(40)*28=28sin(20) = 17.99](https://img.qammunity.org/2022/formulas/mathematics/high-school/pq8eh5n8lgssf5st79d47ismvsv9crqnc5.png)
we're left with w = 17.99