Question

I need help with this question can you also go step by step because tomorrow I have a quiz?

Answer 1

3/5

Explanation:

In your problem you have a right triangle.

For this problem, you need to know what sine is. Sin is
`\\(opposite)/(hypotenuse)`

In this problem we know that the hypotenuse is 20, but we do not know the opposite. The opposite refers to the side that is opposite to the angle. In this case, the angle we are using is c. Also, in this case, the name of the opposite side is ED. To figure out that side, we need to use the pythagorean theorem.

`a^(2) +b^(2) =c^(2)`

A is 16, c is 20

Therfore we can plug those values into our formula

`16^(2) +b^(2)=20^(2)`

Simplify:

`256 + b^(2) =400`

Simplify even more:

`b^(2) = 144`

Square root both sides:

`b = 12`

Now we Know all 3 sides of our triangle: 20, 16, and 12.

Sin refers to OPPOSITE/HYPOTENUSE

Our opposite is 12, and our hypotenuse is 20.

Plugging those values into our formula gives us:

12/20

Simplify:

3/5.

THERFORE, THE ANSWER IS 3/5

**Also, this whole process seems long, but in reality it is very short and you'll master it in no time!