Question

Find the length side of W

Answer 1

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

$sin(40)=\frac{w}{28}$

Now we solve for w

Step 1 multiply each side by 28

$\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99$

we're left with w = 17.99