Answer:
22√3 inches
Explanation:
You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.
Side lengths
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
This means the longer leg is (√3)/2 times the length of the hypotenuse.
Application
In the given triangle, the longer leg is ...
(44 in)(√3)/2 = 22√3 in