Question

Help figure this out please, I used the last of my points!

Answer 1

In a right triangle, the side that is opposite to a 30 degree angle is equal to half the hypotenuse (you can search it up)

So, the hypotenuse is equal to 3 x 2 = 6

Using the pythagorean theorem, we have :

$x^{2} +3^{2} =6^{2}$
$x^{2} =6^{2} -3^{2}$ $=36 - 9$ $= 27$
$x = \sqrt{27}$ $= 5.19615242271...$ (round to 5.2)

Simplify :

$\sqrt{27} = \sqrt{9.3} = 3.\sqrt{3}$