# How do you find the value of X and Y. Y is the hypotenuse, 5 is the adjacent side and X is the opposite side from Y, and in the triangle there is 30 degrees where X and Y lines meet?

##### 1 Answer

#### Explanation:

To find the values of x and y, you will need to use

- the Pythagorean theorem,
- The trigonometric ratio: soh-cah-toa, and
- special values of trigonometric functions.

Let's find the length of

Using the table of trig values, we find that

So, this gives us:

Next, using the Pythagorean Theorem, we find that

Solve for x: