Question

A right triangle has a side 30 angle. The leg adjacent to the 30 angle measures 25 inches. What is the length of the other leg. Round to the nearest tenth

Answer 1

Hello!

When dealing with an angle and both legs of the triangle, you use the tangent. The tangent is opposite divided by the adjacent side. First, let's find our tangent.

tan30≈0.58

Now, this gives us the equation below.

x/25=0.58

To find our answer, we multiply both sides by 25.

x=14.5

Therefore, our answer is 14.5.

I hope this helps!