In a 30-60-90 triangle, the lengths of the sides are in a specific ratio: 1 : √3 : 2. Here, the shorter leg (opposite the 30-degree angle) corresponds to the ‘1’ in the ratio.
Given that the shorter leg is 8 m, we can use this ratio to find the length of the hypotenuse. The hypotenuse, represented by ‘2’ in the ratio, is twice the length of the shorter leg. Therefore, we can calculate it as follows:
Hypotenuse = 2 x Shorter Leg = 2 x 8 m = 16 m.
So, in this case, the length of the hypotenuse is 16 m.