Answer:
22 inches
Explanation:
Hello!
We are given a 30-60-90 triangle. The angles of the triangle are 30°, 60°, and 90°
The triangle is a right triangle, since one of the angles is 90° (it is a right angle)
We are also given the length of the side opposite from the 30° angle as 11 inches, and we want to find the length of the hypotenuse (the side OPPOSITE of the right angle)
In a right triangle, if we know the length of the side opposite from an angle measuring 30°, then we know that the length of the hypotenuse is TWICE the length of the side opposite to 30°
In other words, if the length of the side opposite to the 30° angle is a, then the length of the hypotenuse is 2a
In this case, a would be 11, and since the length of the hypotenuse is 2a, if we plug 11 as a, it would be 2×11, which would mean the hypotenuse is 22 inches long
Hope this helps!