Question

A right triangle has a 30 degree angle. The side across from the 30 degree angle has a length is 100 inches. What is the exact length of the other leg?

Answer 1

Answer:

$100\sqrt{3}$

Step-by-step explanation:

Remeber that a right triangle with a 30 degree leg is a 30-60-90 traingle, and a 30-60-90 triangle has the following properties.(Check Picture Below)

So since the other leg will be $\sqrt{3}$ times more than the other leg, the exact length of the other leg in the triangle will $100\sqrt{3}$

The picture is from Study.com, you can check there for more info on special triangles.

Hope this helped.