Question

25 points!!!

using the 30° 60° 90° Triangle Theorem solve for x
(leave it in simplest radical form)

Answer 1

`x = 5 √(3)`

Explanation:

The base of a triangle, located in front of an angle of 30 degrees, is equal to half the hypotenuse:

y = 2 × 5 = 10

Now, we can find x by using the Pythagorean theorem:

`{x}^(2) = {10}^(2) - {5}^(2) = 100 - 25 = 75`

`x > 0`

`x = √(75) = 5 √(3)`