Question

Find the value of the variables

Answer 1

The correct answer is A.

We can find these values by setting up proportions. We know that in a 30-60-90 triangle like this that the proportions are 1-
`√(3)`-2. And we know that those values line up as follows x-20-y. So we can start by making the proportion to solve for x.

`(1)/(x) = (√(3))/(20)` ---> cross multiply

`√(3)`x = 20 ----> divide

x =
`(20√(3))/(3)`

Now we can do the same for the y values.

`(2)/(y) = (√(3))/(20)` ---> cross multiply

`√(3)`x = 40 ----> divide

x =
`(40√(3))/(3)`